Q2W8 Factoring Flashcard

Front

What is factoring in algebra?

Back

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

Front

What does GCF stand for in factoring?

Back

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

Front

How do you factor out the GCF from an expression?

Back

To factor out the GCF, identify the largest factor common to all terms in the expression, then divide each term by the GCF and write the expression as the GCF multiplied by the resulting expression.

Front

Factor the expression: 4b^5 + 4b^3 + 16b^2

Back

4b^2(b^3 + b + 4)

Front

What is the result of factoring 10x³ - 15x?

Back

5x(2x² - 3)

Front

How do you factor a quadratic expression like 9x^2 + 9x - 10?

Back

To factor a quadratic expression, look for two numbers that multiply to the product of the leading coefficient and the constant term, and add to the middle coefficient.

Front

Factor the expression: 9x^2 + 9x - 10

Back

(3x + 5)(3x - 2)

Front

What is the result of subtracting the polynomials (2a^2 + 5a + 3) - (a^2 - 3a - 4)?

Back

a^2 + 8a + 7

Front

How do you factor the expression x^2 + 9x - 36?

Back

(x + 12)(x - 3)

Front

What is a polynomial?

Back

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