6-3 Solving Quadratic Equations by Factoring B

Writing a quadratic equation with the given roots one should use this pattern

Write the quadratic equation given the zeros(roots) are -4 and 5. Which is the correct first step?

• (x + 4) (x - 5) = 0

• (x - 4) (x + 5)=0

• (x + 4) ( x + 5)=0

• (x - 4) (x - 5)=0

• whole numbers

• integer numbers

• real numbers

• natural numbers

 

Factor 6x²-27x

• (6x+1)(x+3) = 0

• 3x(2x-9) = 0

• 6x(x-9) = 0

• (3x-9)(2x+3) = 0

 

Factor x² + 6x + 9 and solve for x. 

• (x+3)(x+3) = 0 ;

  x = -3

• (x+4)(x+5) = 0; x=-4, -5

• (x-3)(x-3) = 0; x=3

• Not factorable

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

• x= 3,2

• x= 3,2

• x= -3,2

• x= 3,-2

• True

• False

Solve

16a² - 9 = 0

• a = ^-3/₄, ³/₄

• a = ^-4/₃, ⁴/₃

• a = ^-9/₁₆, ⁹/₁₆

• a = ^-16/₉, ¹⁶/₉

Order the following steps for solving quadratic equations by factoring.

• Set the quadratic equation equal to zero.

• Factor the left side.

• Set each factor equal to zero, and solve each for the variable.

• Write the answer using curly braces in set notation.