# Hotmath Practice Problems

Title:
Hotmath Algebra 1
Author:
Hotmath Team
Chapter:Exponents, Polynomials and FactoringSection:Factoring Quadratic Trinomials

Problem: 1

Factor the trinomial, if possible.

z2 + 5z + 6

Problem: 3

Factor the trinomial, if possible.

l2 + 2l – 35

Problem: 5

Factor the trinomial, if possible.

r2 + 12r + 36

Problem: 7

Factor the trinomial, if possible.

m2 – 5m – 84

Problem: 9

Factor the trinomial, if possible.

b2 + 6b – 27

Problem: 11

Factor the trinomial, if possible.

x2 + 9x + 14

Problem: 13

Factor the trinomial, if possible.

x2 – 4x + 4

Problem: 15

Factor the trinomial, if possible.

x2 + 3x + 15

Problem: 17

Factor the trinomial, if possible.

a2 – 13a + 36

Problem: 19

Factor the trinomial, if possible.

m2 + 12m + 27

Problem: 21

Factor the trinomial, if possible.

z2 – 17z + 40

Problem: 23

Factor the trinomial, if possible.

a2 – 7ab + 12b2

Problem: 25

Factor the trinomial, if possible.

c2 – 9cd + 14d2

Problem: 27

Factor the trinomial, if possible.

x2 + x – 30

Problem: 29

Factor the trinomial, if possible.

x2 –4x – 32

Problem: 31

Factor the trinomial, if possible.

y2 – 3y – 18

Problem: 33

Factor the trinomial, if possible.

x2 + 30x + 225

Problem: 35

Factor the trinomial, if possible.

x2 – 3x + 21.

Problem: 37

Factor the trinomial, if possible.

x2 – 5xy – 50y2

Problem: 39

Factor the trinomial, if possible.

c2 + 3cd – 54d2

Problem: 41

Factor the trinomial, if possible.

180y2 – 36xy + x2

Problem: 43

Factor the trinomial, if possible.

112y2 – 6x2yx4

Problem: 45

Factor the trinomial, if possible.

8x2 + 22x + 5

Problem: 47

Factor the trinomial, if possible.

9x2 + 9x – 10

Problem: 49

Factor the trinomial, if possible.

3x2x – 10

Problem: 51

Factor the trinomial, if possible.

9n2 – 9n – 28.

Problem: 53

Factor the trinomial, if possible.

10m2 + 19m + 6

Problem: 55

Factor the trinomial, if possible.

14r2 – 13r + 5

Problem: 57

Factor the trinomial, if possible.

24x3 + 4x2 – 160x

Problem: 59

Factor.

4t2 + 11t + 6

Problem: 61

Factor the trinomial, if possible.

8a2 + 6a + 1

Problem: 63

Factor the trinomial, if possible.

9b2 – 26b – 3

Problem: 65

Factor the trinomial, if possible.

6x2 – 2x – 28

Problem: 67

Factor the trinomial, if possible.

3z2 + 35z – 12

Problem: 69

Factor the trinomial, if possible.

9x2 + 67x + 28

Problem: 71

Suppose that a right rectangular prism has volume 10r3 – 29r2 – 21r cubic inches. Suppose that the dimensions (width, length, height) of the prism are all polynomials with integral coefficients. Find the dimensions.

Problem: 73

Find the values of p, q and r when (px + q)(2x +4) = 12x2 + 10x + r.

Problem: 75

Find the values of a and c in the trinomial square

Problem: 77

Suppose k is an integer randomly chosen from the set

{–10, –9, –8, ..., –1, 0, 1, ..., 8, 9, 10}. What is the probability that the trinomial x2 + kx + 12 can be factored into binomials with integral coefficients?