Solving Quadratic Equations by Factoring

Solving Quadratic Equations by Factoring

Multiple Choice

Solve the equation using the zero product property.

3x(2x - 4) = 0

• x = -1/3 or x = -2

• x = 0 or x = 2

• x = 0 or x = -2

• x = -1/3 or x = 2

Multiple Choice

Factor 6x²-27x

• (6x+1)(x+3)

• 3x(2x-9)

• 6x(x-9)

• (3x-9)(2x+3)

SOLVING QUADRATIC EQUATIONS BY FACTORING DIFFERENCE OF 2 SQUARES

Multiple Choice

Solve: x² - 81 = 0

• 9

• 9, -9

• 3, -3, 9, -9

• None of the above

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:
 $x^2=49$  

•  $x=0$  

•  $x=7$  

•  $x=-7$  

•  $x=7\ \ \ \&\ \ \ x=-7$  

Multiple Choice

Solve

16a² - 9 = 0

• a = ^-3/₄, ³/₄

• a = ^-4/₃, ⁴/₃

• a = ^-9/₁₆, ⁹/₁₆

• a = ^-16/₉, ¹⁶/₉

SOLVING QUADRATIC EQUATIONS BY FACTORING TRINOMIALS

Multiple Choice

Find the zeros of this quadratic.

• b=4/5, b=3
• b=4, b=-3
• b=1/5, b=3
• b=4/5, b=-3

Multiple Choice

Find the zeros of this quadratic.

• b=-2, b=-4

• b=-2, b=4

• b=1/2, b=-2

• b=2, b=-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

What are the solutions to this equation? (x-3)(x+2)=0

• x=3,-2
• x=-3,2
• x=2,3
• x=3,2

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

(n +7)(n + 9) = 0

• n = -7; n = 4

• n = 7; n = -9

• n = -3; n = 10

• n = -7; n = -9

Multiple Choice

Solve

x² + 9x + 20 = 0

• x = -2, x = -10

• x = -3, x = -4

• x = -4, x = -5

• x = -4, x = -6

Multiple Choice

Solve. 7m² - 12m + 5 = 0

• x = 5/7 and x = 1

• x = 8/3 and x = 2

• x = 8/3 and x = -1/2

• x = -2/3 and x = -5

Multiple Choice

Solve 2x² - 7x + 6 = 0 by factoring

• x = -3/2 and x = -2

• x = -3 and x = -2

• x = 3 and x = 2

• x = 3/2 and x = 2