Converting Standard to Factored Form

Convert to Factored Form:

x² - 10x + 24

• (x - 6)(x - 4)

• (x + 6)(x + 4)

• (x - 12)(x + 2)

• (x - 8)(x - 3)

Convert to Factored Form

x² + 5x - 24

• (x - 8)(x + 3)

• (x + 8)(x - 3)

• (x + 6)(x - 4)

• (x + 12)(x - 2)

Convert to Factored Form:

3a² + 4a + 1

• (7a-10)(a-8)

• Not factorable

• (3a+1)(a+1)

• (3a-1)(a-1)

Convert to Factored Form

(hint...take out the greatest common factor first)

2c² + 2c - 84

• (c-6)(2c+14)

• (c+7)(2c-12)

• (c-4)(2c+21)

• 2(c+7)(c-6)

Match each polynomial to its factored form:

• (x+4)(x+1)

• (x-4)(x+1)

• (x-4)(x-1)

• (x+4)(x-1)

Given the real zeros 1/3, -1, and 2, write the factors and multiply to put in standard form.

Convert to Factored Form:

(hint: use slide n' divide)

4x²-16x-9

• (2x-9)(2x+1)

• (2x+9)(2x-1)

• (4x-1)(x+9)

• (x+1)(4x-9)

Turn the following quadratic function from standard form into factored form:

y = x² -16x + 48

• y = (x - 12)(x - 4)

• y = (x + 6)(x - 8)

• y = (x + 12)(x - 4)

• y = (x -16)(x - 3)

Turn the following quadratic function from standard form into factored form:

y = x² - 10x + 25

• y= (x + 5) (x - 5)

• y = (x - 15) (x + 10)

• y = (x + 5) (x - 20)

• y = (x - 5) (x - 5)

Turn the following quadratic function from standard form into factored form:

y = x² -16x + 60

• y = (x - 15)(x + 4)

• y = (x - 6)(x + 10)

• y = (x - 6)(x - 10)

• y = (x +30)(x - 2)