MTH 95 Lesson 2 - Factoring Trinomials Name:

1. Multiply the following binomials.

a. (r + 1)(r + 4)

b. (t− 4)(t+ 10)

c. −4(y − 1)(y − 9)

d. 2(3x− 10)(x+ 3)

2. Factor the following trinomials with leading coefficient of one.

a. r2 + 13r + 42

b. t2 + 14t+ 40

c. x2 + 7x− 30

d. t2 − 16t+ 63

1

e. x2 − 12x+ 36

f. y2 + 6y + 9

g. x2 − 20x+ 100

h. 2t2 + 6t− 20

i. 3y2 − 21y + 18

j. 2x2 − 18x+ 16

k. −t2 + 4t+ 12

l. y2 + 7yr + 6r2

2

m. r2 − 5ry + 4y2

n. 2x2y + 6xy + 4y

o. 2x3y + 16x2y + 30xy

p. 7r2t2 − 7

3. Factor the following trinomials with non-trivial leading coefficient.

a. 3y2 + 17y + 10

b. 2x2 + 3x+ 6

c. 4t2 − 17t+ 18

d. 10y2 − 17y + 6

3

e. 15x2 − 24x+ 9

f. 14t2 − 7t− 21

g. 18r2 + 27r + 9

h. 10t9 − 35t8 + 15t7

i. 5y2t2 − 14yt+ 8

j. 5x2 − 9xt+ 4t2

k. 12y2 − 23yr + 10r2

l. 10x7r2 − 18x6r + 8x5

4