Adding, Subtracting and Multiplying Polynomials

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables (also called indeterminates) raised to non-negative integer powers and coefficients. For example, 2x^2 + 3x + 5 is a polynomial.

Front

What does it mean to add polynomials?

Back

Adding polynomials involves combining like terms, which are terms that have the same variable raised to the same power.

Front

What is the result of (x-7)(x+7)?

Back

x^2 - 49

Front

What is the distributive property in relation to polynomials?

Back

The distributive property states that a(b + c) = ab + ac. This property is used to multiply a polynomial by another polynomial.

Front

What is the product of (3x - 5)(4x^2 - 2x - 3)?

Back

12x^3 - 26x^2 + x + 15

Front

How do you simplify 2x^2(5x^2 + 3x + 4)?

Back

10x^4 + 6x^3 + 8x^2

Front

What is the result of (4x + 1)(5x - 2)?

Back

20x^2 - 3x - 2

Front

What is the square of a binomial?

Back

The square of a binomial (a + b)^2 is equal to a^2 + 2ab + b^2.

Front

What is the product of (5s + 2)(5s + 2)?

Back

25s^2 + 20s + 4

Front

What are like terms in polynomials?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x^2 and 5x^2 are like terms.