Remainder & Factor Theorem

If we will divide 3x⁶ + 7x - 5x and x - 8, what is the value of x?

• -8

• 8

• 6

• 1

Tags

CCSS.HSA.APR.D.6

What kind of theorem is the given polynomial?

P(x) = 3x + 6x - 12 ; x + 4

• Factor Theorem

• Pythagorean Theorem

• Remainder Theorem

Tags

CCSS.HSA.APR.B.2

What is the remainder when x⁶ + 3x² + 10 is divided by x - 2?

• R = 54

• R = 86

• R = 30

• R = 12

Tags

CCSS.HSA.APR.B.2

What is the formula for factor theorem?

• P(c) = 1

• P(c) = F

• P(c) = R

• P(c) = 0

Tags

CCSS.HSA.APR.B.2

What is the formula for remainder theorem?

• P(c) = 0

• a_n = a₁ (r) ^n-1

• a_n = a₁ + (n - 1) d

• P(c) = R

Tags

CCSS.HSA.APR.B.2

Which is the correct statement that determine if the given (x - c) is a factor of the polynomial P(x).

P(x) = -10x + 2x² + x - 8 ; x + 3

• ∴ (x-8) is a factor of p(x) = 10x + 2x² + x - 8

• ∴ (x+3) is a factor of p(x) = 10x + 2x² + x - 8

• ∴ (x+10) is a factor of p(x) = 10x + 2x² + x - 8

• ∴ (x-3) is a factor of p(x) = 10x + 2x² + x - 8

Tags

CCSS.HSA.APR.B.2

If we will divide 4x² + x - 3x and x - 8, what is the remainder?

• R = 16

• R = 32

• R = 48

• R = 24

Tags

CCSS.HSA.APR.B.2

Which is the correct statement that determine if the given (x - c) is a factor of the polynomial P(x).

P(x) = 3x - 6x - 12 ; x + 4

• ∴ (3x - 6x) is a factor of p(x) = 3x - 6x - 12 ; x + 4

• ∴ (x-4) is a factor of p(x) = 3x - 6x - 12 ; x + 4

• ∴ (x+4) is a factor of p(x) = 3x - 6x - 12 ; x + 4

• ∴ (-6x - 12) is a factor of p(x) = 3x - 6x - 12 ; x + 4

Tags

CCSS.HSA.APR.B.2

What is the remainder when 8x⁴ - 3x³ - 7x² + 2x is divided by x-3?

• R = 510

• R = 644

• R = 812

• R = 670

Tags

CCSS.HSA.APR.B.2

What is the value of k so that x + 3 is a factor of p(x) = 2x³ + kx² - 8x + 3 ?

• k = 3

• k = 12

• k = 16

• k = 4

Tags

CCSS.HSA.APR.B.2