Solving Quadratics by Completing the Square, Quadratic Formula, and Factoring

What are some other names for the SOLUTIONS of a quadratic equation?

• y-intercepts

• roots

• x-intercepts

• zeros

Which is the BEST method to use to solve this equation?

3a² = 27

• Square Root Method

• Factor Method

• Complete the Square

• Quadratic Formula

True or false:
The solutions, roots, x-intercepts, and zeros of a quadratic equation are all the same thing.

• True

• False, because the solution and root are the same but the x-intercept and zero are different

• False, because the x-intercept and root are the same but the zero and solution are different

• False, they are all different

What are the steps to solving this by completing the square?

• Rewrite the left hand side as a (binomial)²

• Subtract 5 from both sides of the equation

• Take the square root of both sides of the equation

• Subtract 21 from both sides of the equation

• Add 25 to both sides of the equation

Complete the quadratic formula

What is another word for zeros?

• y-intercepts

• roots

• vertex

• axis of symmetry

What are the factors AND solutions of x² + 2x – 3 = 0

• (x - 2)(x + 1); x=2, x=-1

• (x + 1)(x - 3); x=-1, x=3

• (x + 2)(x - 1); x=-2, x=1

• (x - 1)(x + 3); x=1, x=-3

Factor and Solve

6x² + 17x + 12 = 0

• x = -4/3, x = -3/2

• x = 9, x = 8

• x = 4, x = 3

• x = -4, x = -3

Factor and Solve

2x² - 3x - 2 = 0

• x = 1, x = -1

• x = -1/2, x = 2

• x = 1/2, x = 2

• x = 1/2, x = 1

Which method do you feel is the best way to solve the following?

• Factor

• Isolation/Solve with Square Roots

• Complete the Square

• Quadratic Formula