Mult Polynomials

Front

What is a polynomial?

Back

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

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial. For example, in the polynomial 4x^3 + 2x^2 - x + 7, the degree is 3.

Front

What is the product of (a + b)(c + d)?

Back

The product is ac + ad + bc + bd, which is derived from the distributive property.

Front

How do you multiply two binomials?

Back

Use the distributive property (FOIL method): First, Outer, Inner, Last. For example, (x + 2)(x + 3) = x^2 + 3x + 2x + 6 = x^2 + 5x + 6.

Front

What is the result of multiplying (3x - 1)(x + 5)?

Back

3x^2 + 14x - 5.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form.

Front

What is the result of -3x^2(7x^2 - x + 4)?

Back

-21x^4 + 3x^3 - 12x^2.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

What is the simplified form of 5(3x + 2)?

Back

15x + 10.

Front

What is the result of multiplying (4x + 3)(2x - 1)?

Back

8x^2 + 2x - 3.