Polynomials & Solving Quadratic Equations Practice

Solve. :

k² − 12k + 23 = 0

• {6 + √13, 6 - √13}

• {-6 + √13, -6 - √13}

• {6 + √59, 6 - √59}

• {-6 + √59, -6 - √59}

What is one of the solutions to this equation?
(2x - 1)² = 49

• 7

• -7

• -4

• -3

• ±2i√6

• ±12i

• ±6√2

• ±6i√2

Which expression is equivalent to (6-2i)(2-3i)?

• 6+22i

• 18+22i

• 18-22i

• 6-22i

Given 3y² - 10y + k is a perfect square, find the value of k.

• 25

• 25/3

• 25/9

• -25/3

• -25/9

If x² -14kx + ____ is a perfect square, what could be the missing number?

• 7k

• 49k

• 7k²

• 49k²

Which would be the best method to solve the equation ½x² - 40 = 15?

• factoring because it is easily factorable

• square roots because there is no linear term

• completing the square because there is an even number

• quadratic formula because this is the easiest way

When solving the equation 30x² - 75x + 45 by factoring, which expression could be one of the factors?

• 2x - 3

• 2x + 3

• x - 3

• x + 3

James was correctly solving the equation x² + 4x = 8 by completing the square. Which equation is part of his solution?

• (x + 2)² = 8

• (x + 2)² = 12

• (x + 4)² = 8

• (x + 4)² = 12

The path of an object shot into the air is modeled by the equation h = -16t² + 45x + 30 where time in seconds is a function of height in ft. Use the discriminant to determine if the object will reach a height of 55 ft.

• no, the discriminant is negative.

• no, the discriminant is positive.

• yes, the discriminant is negative.

• yes, the discriminant is positive.