Add/Subtract/Multiply Polynomials

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.

Front

What does it mean to add polynomials?

Back

Adding polynomials involves combining like terms from each polynomial to form a new polynomial.

Front

What does it mean to subtract polynomials?

Back

Subtracting polynomials involves changing the signs of the terms in the polynomial being subtracted and then combining like terms.

Front

How do you multiply a polynomial by a monomial?

Back

To multiply a polynomial by a monomial, distribute the monomial to each term in the 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

Simplify: 5(3x + 2)

Back

15x + 10

Front

Find the difference: (3 - 2x + 2x^2) - (4x - 5 + 3x^2)

Back

-x^2 - 6x + 8

Front

Find the difference: (4x^2 + x) - (x^2 + 2x)

Back

3x^2 - x

Front

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

Back

-2x^2 + 11x - 4

Front

Which expression is equivalent to 2(3g - 4) - (8g + 3)?

Back

-2g - 11