11.4 Solving Quadratic Equations by Factoring

11.4 Solving Quadratic Equations by Factoring

Thursday. January 14 / 2021

Multiple Choice

The solutions of the quadratic equation

x² - x = 12 are

• x = 4 or x = -3

• x = -3 or x = -4

• x = 6 or x = 2

• x = 4 or x = 3

Multiple Choice

Solve: x² - 81 = 0

• 9

• 9, -9

• 3, -3, 9, -9

• None of the above

Multiple Choice

Solve by factoring

• -2, 4

• -8

• ±8

• No real solution

Multiple Choice

What should you do first in solving this equation?

x² + 6x - 13 = 3

• Get factored form

• Find two numbers which add to make 6 and multiply to make -13

• Make it equal 0 by subtracting 3 on each side

• Type it all in a calculator.

Multiple Choice

Solve

x² + 2x - 20 = 4

• x = -6, x = 4

• x = 6, x = -4

• x = 12, x = -2

• x = 8, x = -3

Multiple Choice

Factor x² + 6x + 9 and solve for x. 

• (x+3)(x+3); x = -3
• (x+4)(x+5); x=-4, -5
• (x-3)(x-3); x=3
• Not factorable

Multiple Choice

The solutions of the quadratic equation

x²+12x+35=0 are

• x = -5 or x = -7

• x = 5 or x = 7

• x = -35 or x = -1

• x = -9 or x = -4

Multiple Choice

The solutions of the quadratic equation

x²+2x-15=0 are

• x = 3 or x = 5

• x = 5 or x = -3

• x = -5 or x = 3

• x = -3 or x = -5

Multiple Choice

Convert x² - 9x + 20 to factored form and solve.

• (x-10)(x+2); x = -2, 10

• (x+4)(x+5); x = -5, -4

• (x-4)(x-5); x = 4, 5

• Not factorable

Multiple Choice

Convert x² - 9x + 20 to factored form and solve.

• (x-10)(x+2); x = -2, 10

• (x+4)(x+5); x = -5, -4

• (x-4)(x-5); x = 4, 5

• Not factorable

Multiple Choice

Solve the following quadratic equation:
 $x^2=49$  

•  $x=0$  

•  $x=7$  

•  $x=-7$  

•  $x=7\ \ \ \&\ \ \ x=-7$  

Multiple Choice

Solve the following quadratic equation:
 $x^2+5x=6$  

•  $x=2\ \ \ \&\ \ \ x=3$  

•  $x\ =-1\ \ \ \&\ \ \ x=6$  

•  $x=1\ \ \ \&\ \ \ x=-6$  

•  $x=-2\ \ \ \&\ \ \ x=-3$  

Multiple Choice

Solve the following quadratic equation: $x^2-13x-30=0$  

•  $x=3\ \ \ \&\ \ \ x=10$  

•  $x=-3\ \ \ \&\ \ \ x=-10$  

•  $x=-2\ \ \ \&\ \ \ x=15$ 

•  $x=2\ \ \ \&\ \ \ x=-15$  

Multiple Choice

Solve the following quadratic equation: $5x^2=10x$  

•  $x=-2$  

•  $x=2$  

•  $x=2$  & $x=0$  

•  $x=-2$  & $x=0$  

Multiple Choice

Solve the following quadratic equation: $4x^2-9=0$  

•  $x=\frac{3}{2}$  &  $x=-\frac{3}{2}$  

•  $x=\frac{2}{3}$  & $x=\frac{-2}{3}$  

•  $x=\frac{9}{4}$  

•  $x=\frac{4}{9}$  

Multiple Choice

Solve the following quadratic equation: $x^2+25=10x$  

•  $x=-5$  

•  $x=5$  

•  $x=0$  

Multiple Choice

Solve the following quadratic equation: $x^2-6x-7=0$  

•  $x=7\ \ \ \&\ \ \ x=-1$  

•  $x=1\ \ \ \&\ \ \ x=-7$  

•  $x=0$  

•  $x=\frac{-7}{5}$  

Multiple Choice

What is the first step in solving this quadratic equation? $x^2+5x=6$  

• Factor

• Subtract 6 from both sides to set the equation equal to 0

• Set each factor equal to 0

• Combine like terms