Factoring Quadratics

Front

What is the factored form of x² + 16x + 15?

Back

(x + 1)(x + 15)

Front

Find the factors of 4x² - 16x - 9.

Back

(2x - 9)(2x + 1)

Front

What are the factors of 3x² - 17x + 10?

Back

(x - 5)(3x - 2)

Front

Find the factors of 100x² - 64.

Back

(10x - 8)(10x + 8)

Tags

CCSS.HSA.APR.C.4

Front

What is the factored form of x² - 10x + 24?

Back

(x - 4)(x - 6)

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into simpler components (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.

Front

What is the zero-product property?

Back

If the product of two factors is zero, then at least one of the factors must be zero.

Tags

CCSS.HSA-REI.B.4B

Front

How do you factor a quadratic expression in the form x² + bx + c?

Back

Look for two numbers that multiply to c and add to b.

Front

What is the difference of squares?

Back

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

Tags

CCSS.HSA.APR.C.4