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 12 and 18?

Back

The GCF of 12 and 18 is 6, as it is the largest number that divides both 12 and 18.

Front

What is the first step in factoring polynomials?

Back

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

Front

Factor the expression: 12x + 6

Back

6(2x + 1)

Front

What is the factored form of x^2 + 7x - 30?

Back

(x + 10)(x - 3)

Front

How do you factor the expression 6x^2 + 11x + 5?

Back

The length of the soccer field is (6x + 5) when the width is (x + 1).

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication.

Front

What is the degree of the polynomial 4x^3 + 2x^2 - x + 7?

Back

The degree of the polynomial is 3, which is the highest exponent of the variable x.

Front

What does it mean to factor a quadratic expression?

Back

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