A2 Essential Skills Remainder Theorem

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

• 0
• 2x-10
• -2x-10
• 2x+10

Tags

CCSS.HSA.APR.B.2

If 𝒙²−𝟓 is divided by 𝒙−𝟐, then what is the remainder?

• 1

• -1

• 9

• 0

            Is (x-2) a factor of             f(x)= x³-8x²+14x-4?

• Yes, (x-2) is a factor. There is a remainder.
• No, (x-2) is  not a factor. The remainder is zero.
• Yes, (x-2) is a factor. The remainder is zero.
• No, (x-2) is  not a factor. There is a remainder. 

Tags

CCSS.HSA.APR.B.2

We know f(-1) = 0 for the polynomial f(x) = x³-6x²+5x+12. What do we know is a factor of f(x)?

• (x-1)

• (x+1)

• (x-1)²

• x

Tags

CCSS.HSA.APR.B.2

If f(x)=x³+2x²-5x-6 and f(-3) = 24, which do we know is NOT a factor of f(x)?

• (-3, 24)

• (-3x-24)

• (x+3)

• (x-3)

Is (x-7) a factor of (x²-5x+14)?

• Yes
• No

Tags

CCSS.HSA.APR.B.2

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

• -2
• -6
• -12
• 0

Tags

CCSS.HSA.APR.B.2

Which binomial is a factor of
f(x)= x³ -6x² +3x +10?

• x + 1
• x + 2
• x + 5
• x + 10

Tags

CCSS.HSA.APR.B.2