11.27 Polynomial Arithmetic

Front

What is polynomial arithmetic?

Back

Polynomial arithmetic involves operations such as addition, subtraction, multiplication, and division of polynomials.

Tags

CCSS.HSA.APR.A.1

Front

Define 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 is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the expression.

Front

What is the Remainder Theorem?

Back

The Remainder Theorem states that the remainder of the division of a polynomial p(x) by (x - c) is equal to p(c).

Tags

CCSS.HSA.APR.B.2

Front

How do you multiply two binomials?

Back

To multiply two binomials, use the distributive property (FOIL method): First, Outer, Inner, Last.

Tags

CCSS.HSA.APR.A.1

Front

What is the result of multiplying (x - 3)(5x^2 + 2x - 6)?

Back

5x^3 - 13x^2 - 12x + 18.

Tags

CCSS.HSA.APR.A.1

Front

What is the equivalent expression for (a + b)(a^2 - ab + b^2)?

Back

a^3 + b^3.

Tags

CCSS.6.EE.A.4

Front

How do you find the remainder when dividing a polynomial by a linear factor?

Back

Use the Remainder Theorem: evaluate the polynomial at the root of the linear factor.

Tags

CCSS.HSA.APR.B.2

Front

What is the result of dividing 2x^3 + 5x^2 - x + 3 by x + 2?

Back

The remainder is 9.

Tags

CCSS.HSA.APR.B.2

Front

What is the product of (5x - 3)(2x + 7)?

Back

10x^2 + 29x - 21.

Tags

CCSS.HSA.APR.A.1