Product Sum Solving of Quadratics

How many solutions are there?

• 0

• 1

• 2

• Cannot be determined

What is the first step to solving x²-9x=10 with Factoring?

• Look for 2 numbers whose sum is -9 and product is 10.

• Subtract 10 from both sides.

• Divide -9 by 2 and square the answer.

• Look for 2 numbers whose sum is 10 and product is -9.

• Plug in zero for x

• Solve for x

• FOIL

• Set each binomial factor equal to zero

-2x² - 5x + 1 = 0
What are the sum and product of roots?

• Sum = 5/2
  Product = 1/2

• Sum = - 5/2
  Product = - 1/2

• Sum = - 5/2
  Product = 1/2

• Sum = 5/2
  Product = - 1/2

ax² - 3x - c = 0
Given the sum and product of roots are 6 and -9 respectively. What are the values of a and c?

• a = 1/2
  c = 9/2

• a = - 1/2
  c = - 9/2

• a = - 1/2
  c = 9/2

• a = 1/2
  c = - 9/2

Factor the quadratic equation: x² + 5x + 6

• (x + 3)(x + 4)

• (x + 2)(x + 3)

• (x + 2)(x + 4)

• (x + 1)(x + 6)

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

• x=3,-2

• x=-3,2

• x=2,3

• x=3,2

• Yes, she factored correctly and then used the zero product property

• No, she didn't factor correctly so the rest of her work is wrong.

• No, she did not set the equation equal to zero before factoring.

• Yes, she answered it correctly.

Solve: (k+1)(k−5)=0

• k = 1, 5

• k = -1, -5

• k = -1, 5

• k = 1, -5

• 5

• 7

• 8

• 13

Answer explanation