Factoring Polynomials Review

Front

What is the GCF of the polynomial 3x^2 - 9x - 120?

Back

The GCF is 3.

Front

Factor Completely: 4x^2 + 24x - 64

Back

4(x + 8)(x - 2)

Front

Factor: x^3 + 512

Back

(x + 8)(x^2 - 8x + 64)

Front

Factor the difference of cubes: x^3 - 343

Back

(x - 7)(x^2 + 7x + 49)

Front

Write 4x^3 + 2x^2 - 6x in factored form.

Back

2x(2x + 3)(x - 1)

Front

What is a polynomial?

Back

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

Front

Define factoring in mathematics.

Back

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

Front

What is the difference of cubes formula?

Back

The difference of cubes formula is: a^3 - b^3 = (a - b)(a^2 + ab + b^2).

Front

What is the sum of cubes formula?

Back

The sum of cubes formula is: a^3 + b^3 = (a + b)(a^2 - ab + b^2).

Front

How do you factor a trinomial of the form ax^2 + bx + c?

Back

Look for two numbers that multiply to ac and add to b, then rewrite the middle term.