Factoring Quadratic Expression

What is the first step to factoring a quadratic expression?

• List the factors of c

• Find two numbers that add to give you b

• Write the two factors as a product of binomials

• Multiply a and c

What is the third step to factoring a quadratic expression?

• List the factors of c

• Find two factors of c that add to give you b

• Write the two factors as a product of binomials

• Multiply a and c

Factor:  x² + 13x + 30

• (x + 3)(x + 10)

• (x + 5)(x + 6)

• (x + 2)(x + 15)

• (x + 1)(x + 30)

Factor:  x² - 2x - 24

• (x + 6)(x - 4)

• (x + 4)(x - 6)

• (x - 4)(x - 6))

• (x - 3)(x + 8)

Pick the correct answer choice below.

• a

• b

• c

• d

Pick the correct answer choice below.

• f

• g

• h

• j

Answer explanation

To factor the quadratic expression x^2 - 5x + 6, we look for two numbers that multiply to 6 and add up to -5. These numbers are -2 and -3, so the factored form is (x - 2)(x - 3).

What is the factored form of x²+16x+15

• (x+1)(x+15)

• (x+3)(x+5)

• (x-3)(x-5)

• (x-1)(x+15)

Quarterly Review:

Factor

2x² − 7x + 3

• (2x − 1)(x − 3)

• (2x − 3)(x − 1)

• (2x + 1)(x − 3)

• (2x + 3)(x − 1)

Factor:  6x² - 7x - 10

• (3x + 2)( 2x - 5)

• (3x - 2)( 2x + 5)

• (6x - 5)(x + 2)

• (6x + 5)(x - 2)