Nov 26 2024 Unit 5 TEST Block 2

Front

What is polynomial long division?

Back

Polynomial long division is a method used to divide a polynomial by another polynomial of the same or lower degree, similar to numerical long division.

Tags

CCSS.HSA.APR.D.6

Front

What is the degree of a polynomial?

Back

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

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How do you find the roots of a polynomial equation?

Back

To find the roots of a polynomial equation, set the polynomial equal to zero and solve for the variable using factoring, the quadratic formula, or numerical methods.

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What is the Remainder Theorem?

Back

The Remainder Theorem states that when a polynomial f(x) is divided by (x - c), the remainder is f(c).

Tags

CCSS.HSA.APR.B.2

Front

What is the Factor Theorem?

Back

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

Tags

CCSS.HSA.APR.B.2

Front

What is function composition?

Back

Function composition is the process of applying one function to the results of another function, denoted as (g ∘ f)(x) = g(f(x)).

Tags

CCSS.HSF-BF.A.1C

Front

How do you perform polynomial multiplication?

Back

To multiply polynomials, use the distributive property (FOIL for binomials) to multiply each term in the first polynomial by each term in the second polynomial.

Tags

CCSS.HSA.APR.A.1

Front

What is the significance of zeros in a polynomial function?

Back

The zeros of a polynomial function are the x-values where the function intersects the x-axis, indicating the solutions to the equation f(x) = 0.

Tags

CCSS.HSF-IF.C.7C

Front

What is synthetic division?

Back

Synthetic division is a simplified form of polynomial long division used when dividing by a linear factor of the form (x - c).

Tags

CCSS.HSA.APR.D.6

Front

What is the difference between a polynomial and a rational function?

Back

A polynomial is a function that consists of variables raised to whole number powers, while a rational function is a ratio of two polynomials.