Multiplying Polynomials

Front

What is a polynomial?

Back

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

Front

What does it mean to multiply polynomials?

Back

Multiplying polynomials involves using the distributive property to multiply each term in one polynomial by each term in another polynomial.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term in a sum.

Front

Multiply: (x + 7)(x + 9)

Back

x² + 16x + 63

Front

What is the result of adding polynomials?

Back

Adding polynomials involves combining like terms to simplify the expression.

Front

Find the sum: (2x² + 5x - 7) + (3 - 4x² + 6x)

Back

-2x² + 11x - 4

Front

Multiply: (x - 3)(x + 10)

Back

x² + 7x - 30

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power, allowing them to be combined.

Front

Simplify: (3x⁴ + 2x - 4x²) + (5x² - 8x + 6x⁴)

Back

9x⁴ + x² - 6x

Front

Multiply: (x - 4)(x - 6)

Back

x² - 10x + 24