Given $$P\left(x\right)=x^3-3x^2-2x+4$$ , use the Remainder and Factor Theorems to determine which statement is true?

$$\left(x-1\right)\ $$ is a factor of $$P\left(x\right)$$ because $$p\left(-1\right)=2.$$

$$\left(x+1\right)$$ is a factor of $$P\left(x\right)$$ because $$P\left(-\right)=2.$$

$$\left(x+1\right)$$ is a factor of $$P\left(x\right)$$ because $$P\left(1\right)=0.$$

$$\left(x-1\right)$$ is a factor of $$P\left(x\right)$$ because $$P\left(1\right)=0.$$

Which of the following best describes long division in algebra?

A technique used to divide polynomials

A method used to divide numbers without remainders

A process used to simplify expressions without variables

A rule used to factor quadratic equations

What is the purpose of synthetic division?

To divide two polynomials quickly, especially when the divisor is linear

To find the square root of a polynomial expressions

To simplify polynomials into factored form

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Math

Calculus

Alternating Series Remainder Theorem

Polynomial Long Division And Remainder Theorem

Polynomial Long Division and Remainder Theorem

Authored by Anthony Clark

Mathematics

10th Grade

CCSS covered

Polynomial Long Division and Remainder Theorem

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MULTIPLE SELECT QUESTION

1 min • 1 pt

long division

remainder finding calculator

remainder theorem

polynomial

factorization

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CCSS.HSA.APR.B.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

what is the alternative method in factor theorem instead of (see pic) ?

long division

slitting method

LCM

HCF

none of the above

Tags

CCSS.HSA.APR.B.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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CCSS.HSA.APR.D.6

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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CCSS.HSA.APR.D.6

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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CCSS.HSA.APR.B.2

MULTIPLE SELECT QUESTION

1 min • 3 pts

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CCSS.HSA.APR.B.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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CCSS.HSA.APR.B.2

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Polynomial Long Division and Remainder Theorem

what is the alternative method in factor theorem instead of (see pic) ?

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

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