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 statement is TRUE?

If $$x-2$$ is a factor of $$f\left(x\right)$$ then $$f\left(-2\right)=0.$$

If $$x+3$$ is a factor of $$f\left(x\right),\ $$ then $$f\left(-3\right)=0.$$

If $$f\left(x\right)$$ is divided by $$x+4$$ and the remainder is $$-2,\ f\left(4\right)=-2.$$

If $$P\left(-5\right)=0,$$ then the remainder when $$P\left(x\right)$$ is divided by $$x-5$$ is 0.

Factor Theorem and Long Division

Authored by Anthony Clark

Mathematics

11th Grade

CCSS covered

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

remainder is 0

remainder is 2

remainder is -28

remainder is 24

Tags

CCSS.HSA.APR.B.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Tags

CCSS.HSA.APR.B.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

find the value of k when x³-2kx²+3x-1 is divided by x-1 and the remainder is -3

-3

Tags

CCSS.HSA.APR.B.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Decide if (x-3) is a factor of 3x³+10x²-x-12

Yes, it is a factor!

No, it is not a factor!

Tags

CCSS.HSA.APR.B.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What are the three factors for
(x³ +7x² +7x -15) ÷ (x -1)?

(x-1) (x+5) (x-3)

(x-1) (x+5) (x + 3)

(x+1) (x+5) (x-3)

(x+1) (x-5) (x-3)

Tags

CCSS.HSA.APR.B.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the remainder of (3x³ -5x² -4x +1) ÷ (x + 3)?

-25

113

-113

Tags

CCSS.HSA.APR.B.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If 𝒙²+𝟑𝒙+𝟕 is divided by 𝒙+𝟐, then what is the remainder?

-3

Tags

CCSS.HSA.APR.B.2

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Factor Theorem and Long Division

find the value of k when x³-2kx²+3x-1 is divided by x-1 and the remainder is -3

Decide if (x-3) is a factor of 3x³+10x²-x-12

What are the three factors for
(x³ +7x² +7x -15) ÷ (x -1)?

What is the remainder of (3x³ -5x² -4x +1) ÷ (x + 3)?

If 𝒙²+𝟑𝒙+𝟕 is divided by 𝒙+𝟐, then what is the remainder?

Is (x-7) a factor of (x²-5x+14)?

If (2x²+10) is divided by (x -1), then what is the remainder?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Factor Theorem and Long Division

find the value of k when x3-2kx2+3x-1 is divided by x-1 and the remainder is -3

Decide if (x-3) is a factor of 3x3+10x2-x-12

What are the three factors for (x3 +7x2 +7x -15) ÷ (x -1)?

What is the remainder of (3x3 -5x2 -4x +1) ÷ (x + 3)?

If 𝒙2+𝟑𝒙+𝟕 is divided by 𝒙+𝟐, then what is the remainder?

Is (x-7) a factor of (x2-5x+14)?

If (2x2+10) is divided by (x -1), then what is the remainder?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

find the value of k when x³-2kx²+3x-1 is divided by x-1 and the remainder is -3

Decide if (x-3) is a factor of 3x³+10x²-x-12

What are the three factors for
(x³ +7x² +7x -15) ÷ (x -1)?

What is the remainder of (3x³ -5x² -4x +1) ÷ (x + 3)?

If 𝒙²+𝟑𝒙+𝟕 is divided by 𝒙+𝟐, then what is the remainder?

Is (x-7) a factor of (x²-5x+14)?

If (2x²+10) is divided by (x -1), then what is the remainder?