Factoring Polynomials, a=1

Factor the trinomial:

k² + 11k + 30

• (k+6)(k-5)

• (k+5)(k+6)

• (k-5)(k-6)

• (k+10)(k+3)

Complete:

q²+ q – 56 = (q – 7)(q + _ )

• -9

• -8

• 7

• 8

Factor:

b² – 11b + 24

Factor:

n² + 9n + 14

• (n+2)(n+7)

• (n+1)(n+14)

• (n-1)(n-14)

• (n-6)(n-2)

What two integers have a product of -25 and a sum of 0?

What two integers have a product of 48 and a sum of -14?

• -6, -8

• 6, -8

• -2, -12

• 4, -12

The area of a rectangular door is given by the trinomial x² – 14x + 45. The door’s width is (x – 9). What is the door’s length?

A rectangular pool cover has an area of p² + 9p – 36. What are possible dimensions of the pool cover? Use factoring.

Find the missing factor.

d² + 2d – 15 = (d – 3)(d + ? )

• -12

• 12

• 5

• -5

The area of a rectangular painting is given by the trinomial a² – 6a – 16. The painting’s length is (a + 2). What is the painting’s width?