Quadratic Equations

Ashley is trying to find the product of the roots of 2x² + 8x – 12, but she cannot factor the equation using any method. Her classmate Cassie taught her to use the relationship between the coefficients of the equation and said to use 

PR = -b/a. Is it right to follow Cassie?

• Yes, she is right.

• No, it must be positive b.

• No, it must be c/a.

• No, it must be

  -c/a.

Which of the following is the correct mathematical statement for the vertex form of a quadratic function?

• f(x) = a(x + h)² + k

• f(x) = a(x - h)² + k

• f(x) = a(x + h)² - k

• f(x) = a(x - h)² - k

For what values of a will make the quadratic equation ax² + bx + x = 0 be unreal?

• 1

• 2

• 3

• 0

Joshua is trying to solve the quadratic equation x² – 25 by extracting the roots and he got positive 5 as one of the two roots. What is the other root?

• 5

• -5

• 15

• -25

One of the factors of x² – 8 is x. What is the other factor?

• x + 4

• x - 1

• x - 2

• x - 4

For what value of k will make the statement (x² + 8x + k = 0) a complete square of a binomial?

• 4

• 8

• 12

• 16

If the equation x² + _____ + 9 is a perfect square trinomial, what is the middle term?

• 2x

• 3x

• 4x

• 6x

For what value of the discriminant will make the nature of the roots of a quadratic equation Imaginary?

• Zero

• Perfect Square

• Not Perfect Square

• Negative

Which coefficients of a quadratic equation is used to determine the sum of its roots?

• a and b

• b and c

• a and c

• a, b and c

Which of the pairs of binomials below leads to a quadratic equation when multiplied?

• (x – 2)(x³ + 3) 

• (x² + 2)(x2 – 1)

• (x + 1)(x – 1)

• (x + 3)(x² – 1)