8.1 Adding and Subtracting Polynomials

Presentation

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Mathematics

•

9th Grade

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Medium

•

CCSS

HSA.APR.A.1, 6.EE.A.2B

Standards-aligned

Carson Costa

Used 68+ times

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9 Slides • 13 Questions

8.1 Adding and Subtracting Polynomials

Two monomials

x+y

3-a²

2x+4y

Binomial:

Monomial:

Fractions are NOT monomials!

Trinomial:

Three monomials

x+y+z

3+a-b

2x²-4y+5z

Polynomial:

the highest power of a variable in a polynomial expression

Degree

Multiple Choice

$4y-5xz$

Monomial

Binomial

Trinomial

Polynomial

Multiple Choice

$x^3-10x+1$

Monomial

Binomial

Trinomial

Polynomial

Multiple Choice

$5x$

Monomial

Binomial

Trinomial

Polynomial

Multiple Choice

$-6.5$

Monomial

Binomial

Trinomial

Polynomial

Multiple Choice

$6x^3+4x+y+3$

Monomial

Binomial

Trinomial

Polynomial

Multiple Choice

$-3y^2-2y+4y-1$

Monomial

Binomial

Trinomial

Polynomial

-3y² - 2y + 4y - 1

We need to simplify first!

-3y² + 2y - 1

Always simplify as much as possible (remember like terms)

9+5x²+x⁴-3x³+x-2x⁶

Put this polynomial in standard form:

4x⁴+2x+3

Standard Form: terms in order from greatest to least degree

3y³-y²+12y

y⁸+8y³+2y²-y+7

(2x²+5x-7) + (3-4x²+6x)

Combine like terms!

Add Polynomials

(3y+y³-5) + (4y²-4y+2y³+8)

Line up like terms and combine!

Add Polynomials

Multiple Choice

$\left(5x^2-3x+4\right)+\left(6x-3x^2-3\right)$

$11x^2+1$

$8x^2+3x-1$

$2x^2+3x+1$

$6x^2+1$

(3-2x+2x²) - (4x-5+3x²)

Subtract by adding the inverse.

Subtract Polynomials

(7p+4p³-8) - (3p³+2-9p)

Line up like terms and combine!

Subtract Polynomials

Multiple Choice

$\left(4x^3-3x^2+6x-4\right)-\left(-2x^3+x^2-2\right)$

$2x^3-2x^2+6x-2$

$2x^3-2x^2-6$

$6x^3-4x^2-6$

$6x^3-4x^2+6x-2$

Multiple Choice

What is the degree of the polynomial? 5x⁵ - 6x⁶ + 2

Multiple Choice

Add the polynomials.
(2x + 5y) + (3x - 2y)

3x + 5y

5x + 3y

5x + 7y

7xy + 1xy

Multiple Choice

What is the standard form of the polynomial,

9x² + 5x + 27 + 2x³

27 + 5x + 9x² + 2x³

9x² + 5x + 2x³ + 27

9x² + 5x + 27 + 2x³

2x³ + 9x² + 5x + 27

Multiple Choice

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

x_² + 6x + 8

2x²+ 5x - 7

-x²-6x + 8

-2x² + 11x - 4

Multiple Choice

What are like terms?

The same coefficients.

The same variables with different exponents.

Terms with the same variable and exponents combination.

Different variables with same exponents.

8.1 Adding and Subtracting Polynomials

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