Polynomial EOC Review

Front

Is (x-2) a factor of f(x)= x^3-8x^2+14x-4?

Back

Yes, (x-2) is a factor. The remainder is zero.

Front

Find the factors of 3b^2 + 17b + 20

Back

(3b + 5)(b + 4)

Front

What is the remainder of (3x^3 -5x^2 -4x +1) ÷ (x + 3)?

Back

-113

Front

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

Back

x + 6

Front

What is the end-behavior of the function y = -x^3 + 6x^2 + 7x?

Back

as x-> -∞ f(x) -> ∞; as x-> ∞ f(x) -> -∞

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, 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 expression.

Front

What is synthetic division?

Back

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

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).

Front

What is the Factor Theorem?

Back

The Factor Theorem states that (x - c) is a factor of f(x) if and only if f(c) = 0.