7.5-7.7 Factoring Polynomials

Front

What is the GCF of 5x^2 + 20x?

Back

5x

Front

Factor x^2 + 18x + 81.

Back

(x + 9)^2

Front

Factor x^2 - 16.

Back

(x + 4)(x - 4)

Front

Factor 5ab^2c^{11} + 2bc^5.

Back

bc^5(5ab^2c^6 + 2)

Front

Factor Completely: n^2 + 7n - 8.

Back

(n - 1)(n + 8)

Front

What is a polynomial?

Back

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

Front

Define factoring in mathematics.

Back

The process of breaking down an expression into a product of simpler factors.

Front

What is a quadratic polynomial?

Back

A polynomial of degree 2, typically in the form ax^2 + bx + c.

Front

What does it mean to factor a polynomial completely?

Back

To express the polynomial as a product of irreducible factors.

Front

What is the difference of squares formula?

Back

a^2 - b^2 = (a + b)(a - b).