Alg-Unit 9 Retake Assignment

Front

Factor: 9x² + 9x - 10

Back

(3x + 5)(3x - 2)

Front

Expand: (2 - x)(x³ + 2x + 8)

Back

-x⁴ + 2x³ - 4x - 2x² + 16

Front

Factor: x² + 9x - 36

Back

(x + 12)(x - 3)

Front

What does a discriminant of 4 indicate about the solutions of a quadratic equation?

Back

2 Solutions

Front

What does a discriminant of 0 indicate about the solutions of a quadratic equation?

Back

1 Solution

Front

Define the discriminant in the context of quadratic equations.

Back

The discriminant is the part of the quadratic formula under the square root, given by b² - 4ac, which determines the nature of the roots.

Front

What is the formula for factoring a quadratic equation in the form ax² + bx + c?

Back

(px + q)(rx + s) where p*r = a, q*s = c, and p*s + q*r = b.

Front

What is the significance of a negative discriminant?

Back

It indicates that the quadratic equation has no real solutions (the roots are complex).

Front

How do you determine the number of solutions from the discriminant?

Back

If the discriminant > 0, there are 2 solutions; if = 0, there is 1 solution; if < 0, there are no real solutions.

Front

Factor: x² - 16

Back

(x - 4)(x + 4)