Factors & Quadratic Equations

Presentation

•

Mathematics

•

11th Grade

•

Hard

•

CCSS

HSA-REI.B.4B

Standards-aligned

Tom Giles

Used 4+ times

FREE Resource

8 Slides • 15 Questions

Factoring & Solving
Quadratic Equations

Dr. Tom Giles

Factoring

Factoring using a GCF

(Greatest Common Factor)

Multiple Choice

Factor by using GCF:
8n³ + 2n²

2n²(4n-1)

2n²(4n + 1)

n²(8n+2)

3n(4n+1)

Multiple Choice

Factor by using GCF:
$4x^3+16$

2x²(4x-1)

4x(x + 4)

x²(8x+2)

3x(4x+1)

Be sure to Check all choices.

When there appear to be 2 correct choices - pick the choice that is the larger factor (biggest number on the outside of parenthesis).

Trinomial Factoring

Multiple Choice

Factor:
x²+ 7x - 30

(x + 10)(x - 7)

(x - 10)(x + 3)

(x + 10)(x + 3)

(x + 10)(x - 3)

Multiple Choice

Factor
n² + 5n - 6

(n - 2)(n - 3)

(n - 1)(n + 6)

(n + 1)(n - 6)

(n + 2)(n - 3)

Multiple Choice

Factor
x²+ 9x - 36

(x + 12)(x - 3)

(x + 9)(x - 4)

(x - 12)(x + 3)

(x - 9)(x - 4)

Multiple Choice

Factor
a² - a - 12

(a - 4)(a + 3)

(a + 6)(a - 4)

(a - 6)(a + 4)

(a + 4)(a - 3)

Multiple Choice

Factor
3v² - 4v - 7

(3v-7)(v+1)

3(v-7)(v-1)

(3v+1)(v-9)

(3v+1)(v-10)

Finding One of the Factors

Sometimes you may be asked to find "One" of the factors.

Multiple Choice

Factor:

x²+ 9x - 36

(x + 12)(x-3)

(x + 9)(x-4)

(x - 12)(x+3)

(x - 9)(x+4)

Multiple Choice

What are the solutions for:

a² - a - 12

a= - 2

a= -6

a= - 4

a= +3

a= + 4

a= -3

a= +6

a= -6

Multiple Choice

What are the solutions for:

2n² + 14n - 16

n= - 8

n= +1

n= +8

n= -1

n= +4

None of these

Multiple Choice

What are the solutions for:

3a² + 4a + 1

a= 3

a= 1

a= 4

a= 1

a= -1

a= -1/3

a= 1

a= 1/3

Factoring Completely

Sometimes you have to find a GCF first, then factor again.

Multiple Choice

50m³ - 2m

2m(25m²-1)

2m(5m-1) (5m-1)

2m(5m-1) (5m+1)

PRIME

Multiple Choice

3x³+ 15x²+ 18x

3x(3x + 9)(x - 15)

3x(x+3)(x+2)

x(x - 5)(x + 5)

3x(x-3)(x - 3)

Multiple Choice

5m² -20m - 25

5(m+1) (m-5)

(3m-5) (5m+5)

5(3m²-2m-5)

PRIME

Multiple Choice

8x³ - 18x

2x(2x-3)(2x+3)

(4x²+3) (2x-3)

2x(2x+3) (2x-3)

PRIME

Factoring & Solving
Quadratic Equations

Dr. Tom Giles

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