Factoring Quadratics with Coefficient Is 1

Match each quadratic expression in standard form with its equivalent expression in factored form.

• (x+5)(x+7)

• (x+5)(x-7)

• (x-5)(x+7)

• (x-5)(x-7)

Match each quadratic expression in standard form with its equivalent expression in factored form.

• (x+5)(x+7)

• (x+5)(x-7)

• (x-5)(x+7)

• (x-5)(x-7)

Match each quadratic expression in standard form with its equivalent expression in factored form.

• (x+5)(x+7)

• (x+5)(x-7)

• (x-5)(x+7)

• (x-5)(x-7)

Match each quadratic expression in standard form with its equivalent expression in factored form.

• (x+5)(x+7)

• (x+5)(x-7)

• (x-5)(x+7)

• (x-5)(x-7)

Answer explanation

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

Tags

DOK Level 1: Recall

What mathematical process did they use?

• Quadratic Formula

• Completing the Square

• Factoring

• Differentiation

Factor
v² - 6v + 9

• (v-3)²

• (v-6)²

• (v-9)(v+6)

• not factorable

Factor
k²+7x+10

• (k+2)(k+5)

• (k-2)(k-5)

• (k+10)(k+4)

• (k+2)(k-5)