If P( -4) = 0, which of the following statements is true about P(x) ?

P(x) = 0, has four negative roots

What can we say if P ( − 3 ) = 0 P\left(-3\right)=0 P ( − 3 ) = 0 ?

( x + 3 ) \left(x+3\right) ( x + 3 ) is a factor of P ( x ) P\left(x\right) P ( x )

( x − 3 ) \left(x-3\right)\ ( x − 3 ) is a factor of P ( x ) P\left(x\right) P ( x )

( x − 3 ) \left(x-3\right) ( x − 3 ) is NOT a factor of P ( x ) P\left(x\right) P ( x )

What can we say if P ( 2 ) = 3 P\left(2\right)=3 P ( 2 ) = 3 ?

( x − 2 ) \left(x-2\right) ( x − 2 ) is NOT a factor of P ( x ) P\left(x\right) P ( x )

( x − 2 ) \left(x-2\right) ( x − 2 ) is a factor of P ( x ) P\left(x\right) P ( x )

( x + 2 ) \left(x+2\right) ( x + 2 ) is NOT a factor of P ( x ) P\left(x\right) P ( x )

Remainder Theorem & Factor Theorem

Authored by David Buchanan

Mathematics

10th - 12th Grade

CCSS covered

Used 797+ times

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19 questions

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the remainder R when the polynomial p(x) is divided by (x-5)?
p(x) = x³- 5x²+ 2x - 10

2x-10

-2x-10

2x+10

Tags

CCSS.HSA.APR.B.2

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Is (x-4) a factor of (x³ +x² -16x-16)?

YES

Tags

CCSS.HSA.APR.B.2

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the proper way to write the answer for the following problem?

2x³-x²-25x-12

2x⁴-x³-25x²-12x+0

Tags

CCSS.HSA.APR.D.6

MULTIPLE CHOICE QUESTION

5 mins • 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

5 mins • 1 pt

What is the remainder when a³ - 4 is divided by a+2?

-2

-6

-12

Tags

CCSS.HSA.APR.B.2

MULTIPLE CHOICE QUESTION

5 mins • 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

5 mins • 1 pt

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

-25

113

-113

Tags

CCSS.HSA.APR.B.2

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Remainder Theorem & Factor Theorem

What is the remainder R when the polynomial p(x) is divided by (x-5)?
p(x) = x³- 5x²+ 2x - 10

Is (x-4) a factor of (x³ +x² -16x-16)?

What is the proper way to write the answer for the following problem?

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

What is the remainder when a³ - 4 is divided by a+2?

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

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

Is (x-3) a factor of
(x³- 3x²+ 2x + 2)?

Is (x-7) a factor of (x²-5x+14)?

When (9x⁴- 45x³+ 37x² + x +2) is divided by (x-2), find 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

Remainder Theorem & Factor Theorem

What is the remainder R when the polynomial p(x) is divided by (x-5)?p(x) = x3 - 5x2 + 2x - 10

Is (x-4) a factor of (x3 +x2 -16x-16)?

What is the proper way to write the answer for the following problem?

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

What is the remainder when a3 - 4 is divided by a+2?

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

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

Is (x-3) a factor of(x3 - 3x2 + 2x + 2)?

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

When (9x4- 45x3 + 37x2 + x +2) is divided by (x-2), find 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

What is the remainder R when the polynomial p(x) is divided by (x-5)?
p(x) = x³- 5x²+ 2x - 10

Is (x-4) a factor of (x³ +x² -16x-16)?

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

What is the remainder when a³ - 4 is divided by a+2?

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

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

Is (x-3) a factor of
(x³- 3x²+ 2x + 2)?

Is (x-7) a factor of (x²-5x+14)?

When (9x⁴- 45x³+ 37x² + x +2) is divided by (x-2), find the remainder.