Factor Quadratics

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What does it mean to factor a quadratic expression?

Back

Factoring a quadratic expression means rewriting it as a product of two binomials.

Front

Factor: 4x² - 20x + 25

Back

(2x - 5)(2x - 5)

Tags

CCSS.HSA.APR.C.4

Front

Factor: 2x² - 7x + 6

Back

(x - 2)(2x - 3)

Front

Factor: d² - 10d + 25

Back

(d - 5)(d - 5)

Tags

CCSS.HSA.APR.C.4

Front

Factor: 5n² - 6n - 27

Back

(5n + 9)(n - 3)

Front

Factor: v² + 3v - 88

Back

(v + 11)(v - 8)

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation.

Tags

CCSS.HSA-REI.B.4B

Front

What is the discriminant in a quadratic equation?

Back

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

Tags

CCSS.HSA-REI.B.4B

Front

What does a positive discriminant indicate?

Back

A positive discriminant indicates that the quadratic equation has two distinct real roots.

Tags

CCSS.HSA-REI.B.4B