Factoring

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 does GCF stand for?

Back

GCF stands for Greatest Common Factor, which is the largest factor that two or more numbers have in common.

Front

How do you find the GCF of 10 and 15?

Back

The GCF of 10 and 15 is 5, as it is the largest number that divides both 10 and 15.

Front

Factor the expression: 10x³ - 15x

Back

5x(2x² - 3) is the factored form.

Front

What is the first step in factoring polynomials?

Back

The first step is to find the GCF of the terms in the polynomial.

Front

Factor the expression: 12x + 6

Back

6(2x + 1) is the factored form.

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents.

Front

Factor the expression: x² - 11x + 30

Back

(x - 5)(x - 6) is the factored form.

Front

What is the zero-product property?

Back

The zero-product property states that if the product of two factors is zero, then at least one of the factors must be zero.

Front

Solve for x: x² - 9x + 20 = 0

Back

x = 4 and x = 5.