Question

factor each given trinomial and drag the correct solution next to the trinomial. not all pieces will be used.
$(x - 2)(x + 9)$
$x^2 + 13x + 42$
$(x - 6)(x - 7)$
$(x + 1)(x + 15)$
$x^2 + 7x - 18$
$(x - 5)(x - 10)$
$(x + 2)(x + 9)$
$x^2 - 15x + 50$
$(x - 8)(x + 2)$
$(x + 7)(x + 6)$
$x^2 + 16x + 15$
$(x - 1)(x + 15)$
$(x + 5)(x - 10)$
$x^2 + 4x - 96$
$(x - 8)(x + 12)$

Explanation:

Step1: Factor $x^2+13x+42$

Find two numbers that multiply to 42 and add to 13: 6 and 7.
$\boldsymbol{(x+6)(x+7)}$

Step2: Factor $x^2+7x-18$

Find two numbers that multiply to -18 and add to 7: 9 and -2.
$\boldsymbol{(x+9)(x-2)}$

Step3: Factor $x^2-15x+50$

Find two numbers that multiply to 50 and add to -15: -5 and -10.
$\boldsymbol{(x-5)(x-10)}$

Step4: Factor $x^2+16x+15$

Find two numbers that multiply to 15 and add to 16: 1 and 15.
$\boldsymbol{(x+1)(x+15)}$

Step5: Factor $x^2+4x-96$

Find two numbers that multiply to -96 and add to 4: 12 and -8.
$\boldsymbol{(x+12)(x-8)}$

Answer:

• $x^2 + 13x + 42

ightarrow (x + 7)(x + 6)$

• $x^2 + 7x - 18

ightarrow (x - 2)(x + 9)$

• $x^2 - 15x + 50

ightarrow (x - 5)(x - 10)$

• $x^2 + 16x + 15

ightarrow (x + 1)(x + 15)$

• $x^2 + 4x - 96

ightarrow (x - 8)(x + 12)$