Factoring Trinomials Lesson

2 Slides • 7 Questions

1

Factoring Trinomials

2

Multiple Choice

In order to factor the trinomial , $x^2+bx+c$ we need to find to integers that....?

1

add to b

2

add to c

3

subtract to b

4

subtract to c

3

Multiple Choice

$x^2+bx+c$

The integers then must also.....

1

Multiply to b

2

Multiply to c

3

Divide to b

4

Divide to c

4

As an example, if we have

x^2+7x+12

Integers that sum to 7 are: $0+7,\ 1+6,\ 2+5,\ 3+4$
Factors of 12 are: $1\cdot12,\ 2\cdot6,\ 3\cdot4$

The only pair that are in common are 3 and 4.

This means we can factor it to: $\left(x+3\right)\left(x+4\right)$

5

Multiple Choice

Factor
a² - a - 12

1

(a - 4)(a + 3)

2

(a + 6)(a - 4)

3

(a - 6)(a + 4)

4

(a + 4)(a - 3)

6

Multiple Choice

Factor
x²+ 9x - 36

1

(x + 12)(x - 3)

2

(x + 9)(x - 4)

3

(x - 12)(x + 3)

4

(x - 9)(x - 4)

7

Multiple Choice

Factor
n² + 5n - 6

1

(n - 2)(n - 3)

2

(n - 1)(n + 6)

3

(n + 1)(n - 6)

4

(n + 2)(n - 3)

8

Multiple Choice

Factor:
x²+ 7x - 30

1

(x + 10)(x - 7)

2

(x - 10)(x + 3)

3

(x + 10)(x + 3)

4

(x + 10)(x - 3)

9

Multiple Choice

Factor completely.
3x²- 9x -120

1

3(x - 8)(x + 5)

2

3(x + 8)(x - 5)

3

(3x + 8)(x - 5)

4

(3x - 8)(x + 5)

Factoring Trinomials

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