Factoring Quadratics

Multiple Choice

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Factoring Quadratics when a = 1

Objective: Factor 2nd  degree polynomials where  the lead coefficient is 1.​

Math Response

Perform the operation: (x + 2)(x + 3)

Type answer here

Correct Answer: x^2+5x+6

Deg^°

Rad

​We have learned this...

​(x + 2)(x + 3) = x² + 5x + 6

​We are going to learn this.

​x² + 5x + 6 = (x + 2)(x + 3)

Steps to factor ax² + bx + c (when a = 1)

​1) List the factors of the third term

2) Do they add to be the second term

3) Use proper signs​

​​x² + 5x + 6 = (x + 2)(x + 3)

​​x² + 1x - 6 = (x - 2)(x + 3)

​​x² - 1x - 6 = (x + 2)(x - 3)

​​x² - 5x + 6 = (x - 2)(x - 3)

​EXAMPLE

Factor: ​x² + 11x + 18

Math Response

Factor: x² + 7x + 12

Type answer here

Correct Answer: \left(x+3\right)\left(x+4\right)

Deg^°

Rad

​EXAMPLE

Factor: ​x² - 9x + 18

+18

1
2
3

18
9
6

Math Response

Factor: x² - 8x + 12

Type answer here

Correct Answer: \left(x-6\right)\left(x-2\right)

Deg^°

Rad

​EXAMPLE

Factor: ​x² + 7x - 18

-18

1
2
3

18
9
6

Math Response

Factor: x² + 6x - 16

Type answer here

Correct Answer: \left(x+8\right)\left(x-2\right)

Deg^°

Rad

​EXAMPLE

Factor: ​x² - 3x - 18

-18

1
2
3

18
9
6

Math Response

Factor: x² - x - 12

Type answer here

Correct Answer: \left(x-4\right)\left(x+3\right)

Deg^°

Rad

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