Solve Equations and Inequalities Quadratic

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 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)

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 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

What inequality is represented on the number line?

Which of these is part of the solution set of x² - 3x + 4 > 0?

• -4

• 1

• 5

• 10

Which of the following is not a solution to -x² + 3x + 10 < 0 ?

• -2

• -1

• 5

• 8

What are the critical value for the inequlaity (2x - 1)(x + 3) > 0 ?

• -3

• - 1/2

• 1/2

• 3