# Hotmath

Title:
Hotmath
Author:
Hotmath
Chapter: Exponents, Polynomials and Factoring Section: Factoring Quadratic Trinomials

Problem: 1

Factor the trinomial, if possible.

z 2 + 5 z + 6

Problem: 3

Factor the trinomial, if possible.

l 2 + 2 l – 35

Problem: 5

Factor the trinomial, if possible.

r 2 + 12 r + 36

Problem: 7

Factor the trinomial, if possible.

m 2 – 5 m – 84

Problem: 9

Factor the trinomial, if possible.

b 2 + 6 b – 27

Problem: 11

Factor the trinomial, if possible.

x 2 + 9 x + 14

Problem: 13

Factor the trinomial, if possible.

x 2 – 4 x + 4

Problem: 15

Factor the trinomial, if possible.

x 2 + 3 x + 15

Problem: 17

Factor the trinomial, if possible.

a 2 – 13 a + 36

Problem: 19

Factor the trinomial, if possible.

m 2 + 12 m + 27

Problem: 21

Factor the trinomial, if possible.

z 2 – 17 z + 40

Problem: 23

Factor the trinomial, if possible.

a 2 – 7 ab + 12 b 2

Problem: 25

Factor the trinomial, if possible.

c 2 – 9 cd + 14 d 2

Problem: 27

Factor the trinomial, if possible.

x 2 + x – 30

Problem: 29

Factor the trinomial, if possible.

x 2 –4 x – 32

Problem: 31

Factor the trinomial, if possible.

y 2 – 3 y – 18

Problem: 33

Factor the trinomial, if possible.

x 2 + 30 x + 225

Problem: 35

Factor the trinomial, if possible.

x 2 – 3 x + 21.

Problem: 37

Factor the trinomial, if possible.

x 2 – 5 xy – 50 y 2

Problem: 39

Factor the trinomial, if possible.

c 2 + 3 cd – 54 d 2

Problem: 41

Factor the trinomial, if possible.

180 y 2 – 36 xy + x 2

Problem: 43

Factor the trinomial, if possible.

112 y 2 – 6 x 2 y x 4

Problem: 45

Factor the trinomial, if possible.

8 x 2 + 22 x + 5

Problem: 47

Factor the trinomial, if possible.

9 x 2 + 9 x – 10

Problem: 49

Factor the trinomial, if possible.

3 x 2 x – 10

Problem: 51

Factor the trinomial, if possible.

9 n 2 – 9 n – 28.

Problem: 53

Factor the trinomial, if possible.

10 m 2 + 19 m + 6

Problem: 55

Factor the trinomial, if possible.

14 r 2 – 13 r + 5

Problem: 57

Factor the trinomial, if possible.

24 x 3 + 4 x 2 – 160 x

Problem: 59

Factor.

4 t 2 + 11 t + 6

Problem: 61

Factor the trinomial, if possible.

8 a 2 + 6 a + 1

Problem: 63

Factor the trinomial, if possible.

9 b 2 – 26 b – 3

Problem: 65

Factor the trinomial, if possible.

6 x 2 – 2 x – 28

Problem: 67

Factor the trinomial, if possible.

3 z 2 + 35 z – 12

Problem: 69

Factor the trinomial, if possible.

9 x 2 + 67 x + 28

Problem: 71

Suppose that a right rectangular prism has volume 10 r 3 – 29 r 2 – 21 r 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 )(2 x +4) = 12 x 2 + 10 x + 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 x 2 + kx + 12 can be factored into binomials with integral coefficients?