Factoring quadratics

Front

What is factoring in mathematics?

Back

Factoring is the process of breaking down an expression into a product of simpler factors that, when multiplied together, give the original expression.

Front

What is a quadratic expression?

Back

A quadratic expression is a polynomial of degree 2, typically in the form ax² + bx + c, where a, b, and c are constants.

Front

What does it mean to factor a quadratic expression?

Back

To factor a quadratic expression means to express it as a product of two binomials.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0.

Front

What is the difference of squares?

Back

The difference of squares is a special factoring pattern that states a² - b² = (a + b)(a - b).

Tags

CCSS.HSA.APR.C.4

Front

Factor the expression: 24c^5 - 12c^3

Back

12c^3(2c^2 - 1)

Front

Factor the expression: 25x^2 - 9

Back

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

Tags

CCSS.HSA.APR.C.4

Front

Factor the expression: 5x^2 + 20

Back

5(x^2 + 4)

Front

Factor the expression: x^2 + 2x - 3

Back

(x - 1)(x + 3)

Front

Factor the expression: x^2 - 10x + 24

Back

(x - 6)(x - 4)