Examples with solutions for Factoring Trinomials: Equation factorization

Exercise #1

x2+13x14=0 -x^2+13x-14=0

What is the value of X?

Video Solution

Answer

x1=14,x2=1 x_1=14,x_2=-1

Exercise #2

2x2+4x6=0 2x^2+4x-6=0

What is the value of X?

Video Solution

Answer

x1=1,x2=3 x_1=1,x_2=-3

Exercise #3

The decomposition of the previous trinomial:

x2+2x+1=0 x^2+2x+1=0

is (x+2)(x1) (x+2)(x-1)

Video Solution

Answer

Not true

Exercise #4

3x212x=36 3x^2-12x=36

What is the value of X?

Video Solution

Answer

x1=2,x2=6 x_1=-2,x_2=6

Exercise #5

2x2+6x7=x2+2x2 2x^2+6x-7=x^2+2x-2

What is the value of X?

Video Solution

Answer

x1=5,x2=1 x_1=-5,x_2=1

Exercise #6

x27x+21=3x x^2-7x+21=3x

What is the value of X?

Video Solution

Answer

x1=3,x2=7 x_1=3,x_2=7

Exercise #7

2x216x=30 2x^2-16x=-30

What is the value of X?

Video Solution

Answer

x1=5,x2=3 x_1=5,x_2=3

Exercise #8

x210x4=105x x^2-10x-4=10-5x

What is the value of X?

Video Solution

Answer

x1=7,x2=2 x_1=7,x_2=-2