Factoring Trinomials with Lead Coefficient One and All Positives

Factor
x² -16x + 48

• (x - 12)(x - 4)

• (x + 6)(x - 8)

• (x + 12)(x - 4)

• (x -16)(x - 3)

Factor:
x² -15x + 36

• (x - 18)(x + 2)

• (x - 12)(x - 3)

• (x - 12)(x + 3)

• (x + 18)(x - 2)

Factor:
x² + 4xy + 4y²

• (x + y)(4x + 4y)

• (x + 2y)(x + 2y)

• (2x + y)(2x + y)

• (x + 2)(x + 2)

Tags

CCSS.HSA.APR.C.4

Factor the Trinomial:
x² - 8x + 15

• (x + 5) ( x + 3)

• (x - 5) (x - 3)

• (x + 15) (x - 1)

• (x - 7) (x - 8)

Factor
x² + 11x + 24

• (x + 6)(x + 4)

• (x + 10)(x + 2)

• (x + 8)(x + 3)

• (x + 2)(x + 12)

Answer explanation

To factor x² + 11x + 24, we look for two numbers that multiply to 24 and add to 11. The numbers 8 and 3 fit this, so the expression factors to (x + 8)(x + 3).

Mathematical Equivalence

ON

x² + 7x + 6

• unfactorable

• (x+1)(x-6)

• (x+1)(x+6)

• (x+2)(x+3)

a² + 14a +48

• unfactorable

• (a-4)(a-12)

• (a+6)(a+8)

• (a+24)(a+2)

x² + 5x + 6

• (x - 3) (x - 2)

• (x + 3) (x - 2)

• (x + 3) (x + 2)

• (x + 2) (x - 3)

x² + 19x - 330

• (x + 30) (x - 11)

• (x + 30) (x + 11)

• (x - 11) (x - 30)

• (x + 11) (x - 30)