Factoring

Front

What is factoring in mathematics?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, called factors.

Front

What is the first step in factoring polynomials?

Back

Find the Greatest Common Factor (GCF) of the terms in the polynomial.

Front

Factor completely: k² - 2k - 24

Back

(k + 4)(k - 6)

Front

Factor completely: 8x³ - 18x

Back

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

Front

If the area of a rectangle is given by 80x² + 15x and the length is 5x, what is the width?

Back

16x + 3

Front

Factor: x² + 7x - 30

Back

(x + 10)(x - 3)

Front

What does GCF stand for in factoring?

Back

Greatest Common Factor.

Front

What is a prime polynomial?

Back

A polynomial that cannot be factored into simpler polynomials with integer coefficients.

Front

Factor: x² - 9

Back

(x + 3)(x - 3)

Front

What is the difference of squares?

Back

A special factoring technique used for expressions of the form a² - b², which factors to (a + b)(a - b).