Integrated Math: Polynomials (multiply, divide, factoring GCF)

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. For example, 3x^2 + 2x - 5 is a polynomial.

Front

What does GCF stand for in mathematics?

Back

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

Front

How do you multiply two binomials?

Back

To multiply two binomials, use the distributive property (FOIL method): First, Outer, Inner, Last. For example, (a + b)(c + d) = ac + ad + bc + bd.

Front

What is the result of multiplying (x - 9)(x - 7)?

Back

The result is x^2 - 16x + 63.

Front

What is the formula for the difference of squares?

Back

The formula for the difference of squares is a^2 - b^2 = (a + b)(a - b).

Front

How do you factor out the GCF from 3x^3 + 9x?

Back

Factor out the GCF: 3x(x^2 + 3).

Front

What is the result of multiplying (r + 7)(r - 7)?

Back

The result is r^2 - 49.

Front

How do you factor the expression 18a^2 - 15a?

Back

Factor out the GCF: 3a(6a - 5).

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial is written in descending order of the exponents. For example, 4x^3 + 2x^2 - x + 7.

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms, such as 3x + 5.