Module 5 polynomial roots

Front

What are the three factors for (x^3 - 3x^2 - 4x + 12) ÷ (x + 2)?

Back

(x-2)(x+2)(x-3)

Tags

CCSS.HSA.APR.B.2

Front

What is the degree of the polynomial x^3 - 3x^2 - 4x + 12?

Back

Odd

Front

What are the zeros of the polynomial function y = x(x - 6)(x + 5)?

Back

0, 6, -5

Tags

CCSS.HSF-IF.C.7C

Front

What is the equation in factored form of the graph represented by f(x)?

Back

f(x) = (x+4)(x+1)^2(x-2)(x-4)

Tags

CCSS.HSA.APR.B.3

Front

Which binomial is a factor of f(x)= x^3 + x^2 - 24x + 36?

Back

x + 6

Tags

CCSS.HSA.APR.B.2

Front

Define a polynomial root.

Back

A polynomial root is a value of x that makes the polynomial equal to zero.

Tags

CCSS.HSF-IF.C.7C

Front

What is the relationship between the degree of a polynomial and the number of roots it can have?

Back

The degree of a polynomial indicates the maximum number of roots it can have.

Front

Explain the Factor Theorem.

Back

The Factor Theorem states that if f(c) = 0 for a polynomial f(x), then (x - c) is a factor of f(x).

Tags

CCSS.HSA.APR.B.2

Front

What is synthetic division?

Back

Synthetic division is a simplified form of polynomial long division used to divide a polynomial by a linear factor.

Tags

CCSS.HSA.APR.D.6

Front

What is the Remainder Theorem?

Back

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

Tags

CCSS.HSA.APR.B.2