Review

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Mathematics

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Solomon Abalaka

Used 2+ times

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7 Slides • 45 Questions

Multiple Choice

Classify this polynomial by its degree and number of terms: x² + 6

Linear polynomial

Quadratic trinomial

Quadratic binomial

Cubic binomial

Multiple Choice

Classify this polynomial by its degree and number of terms: x² + 2x + 6

Linear polynomial

Quadratic trinomial

Quadratic binomial

Cubic trinomial

Multiple Choice

Classify this polynomial by its degree and number of terms: 4x³

Cubic monomial

Linear binomial

Cubic binomial

6th degree (sextic) monomial

Multiple Choice

x⁴+2

Quadratic binomial

Quadratic monomial

Quartic binomial

Quartic trinomial

Multiple Choice

Classify by number of terms:
3x³ – 6x

Monomial

Binomial

Trinomial

4-Term Polynomial

Multiple Choice

Classify by degree of polynomial:

3x⁵ – 6x

Constant

Linear

Quadratic

fifth degree

Multiple Choice

Classify by degree of polynomial:
2x – 9

Constant

Linear

Quadratic

Cubic

Multiple Choice

Classify by number of terms:
3x² – 8x + 1

Monomial

Binomial

Trinomial

4-Term Polynomial

Multiple Choice

Classify:
2x⁴+14x³−2x²

Monomial

Binomial

Trinomial

Polynomial

Multiple Choice

When a polynomial is written in standard form, the coefficient of the first term is called the _____________.

Boss coefficient

Leading coefficient

Best coefficient

Greatest common coefficient

Multiple Choice

The following polynomial is written in standard form:
7x³ - 11x² + 8x - 5

True

False

Multiple Choice

The following polynomial is written in standard form:

x² - 10x+ 8x - 5

True

False

Multiple Choice

$-9x^2y^4z^6$ Find the degree of the monomial.

Degree: 10

Degree: 12

Degree: 6

Degree: 4

Multiple Choice

$8x^6y^4z$ Find the degree of the monomial.

Degree: 11

Degree: 10

Degree: 6

Degree: 12

Multiple Choice

7. If P(x) = 2x ³ + 3x² – 11x + 6 , then find the value of P ( 1 )._____

Multiple Choice

Sum of the zeros of the polynomial x²+7x+10 are

-7

-10

Multiple Choice

The degree of the polynomial p(x)= x⁶-3x⁷+8x+5

Multiple Choice

The constant term of the polynomial p(x)= x⁶-3x⁷+8x⁵+4x-5 is

-3

-5

Multiple Choice

The co-efficient of x³ in the polynomial p(x)= 2-x³+x²

-1

Multiple Choice

Which term must be inserted in the dividend before you begin long division?

$\left(2x^3+5x^2+9\right)\div\left(x+3\right)$

$0x^4$

$0x^3$

$0x^2$

$0x$

Multiple Choice

What should be the order of the polynomial coefficients if
(3x - 4x³ + 6x⁴ + 1) / (x + 3)

3 0 -4 6 1

6 -4 3 1 0

6 -4 0 3 1

-6 4 0 -3 -1

Multiple Choice

For synthetic division, what would be the number in the left hand box?

Multiple Choice

Is (x-2) a factor of f(x)= x³-8x²+14x-4?

Yes, (x-2) is a factor. There is a remainder.

No, (x-2) is not a factor. The remainder is zero.

Yes, (x-2) is a factor. The remainder is zero.

No, (x-2) is not a factor. There is a remainder.

Multiple Choice

What is the remainder when you divide
$\left(2x^3-5x-7\right)\ by\ \left(x+2\right)$ ?

-9

-13

-1

Multiple Choice

Find the sum.
(3 - 2x + 2x²) + (4x - 5 + 3x²)

7x - 7x + 5x²

5x²+ 2x - 2

5x²

5x² + 6x + 8

Multiple Choice

Add or Subtract to Simplify:
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

-8n² - 8n + 3

-7n² - 8n + 3

-6n²- 8n + 3

-7n² - 4n + 3

Multiple Choice

Is this division problem worked correctly?

This is correct!

This is incorrect, and error occurs on the 2nd line!

This is incorrect, and the error occurs on the 4th line!

This is incorrect, and the error occurs on the 3rd line!

Multiple Choice

Use synthetic division. $\left(x^2+2x\ -\ 63\right)\div\left(x+9\right)$

$x-7$

$x^2-7$

$x+7$

$x^2+3x-54$

Multiple Choice

Use synthetic division:

(2x³ + 7x² - 6x - 8) ÷ (x + 4)

2x² - x - 2

2x³ - x² - 2x

2x² + 15x + 54 + 208/x+4

2x³ + 15x² + 54x + 208

Multiple Choice

Use synthetic division.

Multiple Choice

Factor
x²-16x + 48

(x - 12)(x - 4)

(x + 6)(x - 8)

(x + 12)(x - 4)

(x -16)(x - 3)

Multiple Choice

Does this graph have an absolute minimum?

Yes

Multiple Choice

Match the graph to the function

f(x)= -x²+3x+2

f(x) = -x³+2

f(x) = x³+2

f(x) = ⅓x⁴-5x²+2

Multiple Choice

Find all the real zeros of the function
f(x) = 2x³ - 19x² + 38x + 24 given that x-4 is a factor.

x = 1/2, -6

x = -1/2, 6

x = 4, -1/2, 6

x = -4, 1/2, -6

Multiple Choice

What is the end behavior of this function?

$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty;\ As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$

$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty;\ As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$

$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty;\ As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$

$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty;\ As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$

Multiple Choice

What is the end behavior of this function?

$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty;\ As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$

$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty;\ As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$

$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty;\ As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$

$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty;\ As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$

Multiple Choice

What is the end behavior of this function?

$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty;\ As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$

$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty;\ As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$

$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty;\ As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$

$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty;\ As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$

Multiple Choice

What is the end behavior of this function?

$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty;\ As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$

$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty;\ As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$

$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty;\ As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$

$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty;\ As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$

Multiple Choice

Describe the end behavior of the graph.

$\lim_{x\rightarrow\infty}f\left(x\right)=\infty$

and

$\lim_{x\rightarrow-\infty}f\left(x\right)=\infty$

$\lim_{x\rightarrow\infty}f\left(x\right)=\infty$

and $\lim_{x\rightarrow-\infty}f\left(x\right)=-\infty$

$\lim_{x\rightarrow\infty}f\left(x\right)=-\infty$ and

$\lim_{x\rightarrow-\infty}f\left(x\right)=\infty$

$\lim_{x\rightarrow\infty}f\left(x\right)=-\infty$ and $\lim_{x\rightarrow-\infty}f\left(x\right)=-\infty$

Multiple Choice

Reflect Point C over the line x = 1

(-1, 2)

(3, 0)

(0, 2)

(3, -1)

Multiple Choice

Point (-3,-3) is rotated 360 degrees clockwise about the origin. Where is the new point located?

(3,3)

(-3,3)

(3,-3)

(-3,-3)

Multiple Choice

Identify the transformation from A to D.

90^o Clockwise Rotation

180^o Rotation

270^o Clockwise Rotation

360^o Rotation

Multiple Choice

_{How many lines of symmetry are in the figure?}

Multiple Choice

Describe the transformation.

rotation 90 degrees clockwise about the origin

reflection across the y-axis

rotation 90 degrees counterclockwise about the origin

rotation 180 degrees about the origin

Multiple Choice

Describe the transformation.

translation: right 3 and down 2

felfection across y=-x

rotation 180 degrees about the origin

rotation 90 degrees clockwise about the origin

Classify this polynomial by its degree and number of terms: x² + 6

Linear polynomial

Quadratic trinomial

Quadratic binomial

Cubic binomial

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