Examples with solutions for Factoring Trinomials: Using short multiplication formulas

Exercise #1

(x+3)2=(x3)2 (x+3)^2=(x-3)^2

Video Solution

Answer

x=0 x=0

Exercise #2

The area of the triangle is x22 \frac{x^2}{2} .

Calculate x.

XXXX-1X-1X-1X+2X+2X+2

Video Solution

Answer

x=2 x=2

Exercise #3

Look at the triangle below.

Calculate x given that x>0 .

x+1x+1x+1xxxx+2x+2x+2

Video Solution

Answer

x=3 x=3

Exercise #4

The square shown below has an area of 36.

x>0

Calculate x.

x+1x+1x+1

Video Solution

Answer

x=5 x=5

Exercise #5

Below is a rectangle.

x>0

The area of the rectangle is x213 x^2-13 .

Calculate x.

x-4x-4x-4x+1x+1x+1

Video Solution

Answer

x=3 x=3

Exercise #6

Choose the expression that represents the area of the square below.

x+1x+1x+1

Video Solution

Answer

x2+2x+1 x^2+2x+1

Exercise #7

Calculate x given that x>0 .

xxxx+7x+7x+7131313

Video Solution

Answer

x=5 x=5