Understanding zeroes and factors of polynomials

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

(a)  

You divide the polynomial g(x) by
(x - 3) and obtain a remainder of 9, what is g(3)?

• -3
• 3
• 9
• cannot be determined

Given $g\left(x\right)=\frac{1}{2}x^4+3x^3+kx^2-5x+8$ and  $t\left(x\right)=x-2$  , what is k if the remainder of  $\frac{g\left(x\right)}{t\left(x\right)}$  is 10?

• k = -8

• k = -7

• k = -6

• k = -5

Given f(x) = -x² - x + 20 and it is divided by (x - 1)

Use the Remainder Theorem to find the Remainder for f(x)

f(x) = -(___)² - (___) + 20

(a)  

If the polynomial  $x^2-5x+9$  is divided by (x-3), then the remainder is

• 4

• 5

• 2

• 3

Use the Remainder Theorem to evaluate the following polynomial:

 $-x^3+6x-7$  at  $x=2$  

•  $f\left(2\right)=1$  

•  $f\left(-3\right)=2$  

•  $f\left(2\right)=-3$  

•  $f\left(2\right)=13$  

What is the remainder when the polynomial f(x) = 2x^3 - 5x^2 + 3x - 7 is divided by (x - 2)?

• The remainder is 5.

• The remainder is -3.

• The remainder is 2x^3 - 5x^2 + 3x - 7.

• The remainder is 1.

What is the remainder when (48y² + 8y + 7) ÷ (12y - 1)?

• 6

• 8

• -1

• No remainder

• -5

• 0

• 14

• 28

• False
• True