Remainder & Factor Theorem

If x - 2 is NOT a factor of (2x³ - 5x - 7), what is the remainder?

• -13

• 2x³ + 4x² +3x - 1

• 13/x-2

• -1/x-2

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

• 3

• -3

• 2

• 6

We know f(4) = 0 for f(x)= x³-6x²+5x+12. Factor f(x) completely using this information.

• (x-4)(x+1)(x-3)

• (x-4)(x+1)(x+3)

• (x-1)(x-4)(x-3)

• (x+1)(x+4)(x+3)

Is (x + 2) a factor of the polynomial:

x⁴ + x³ - 2x² + 3x + 7, and what was the remainder?

• no, R=1

• yes, R=0

• no, R=29

• yes, R=5

Divide

(n² + 10n + 18) by (n + 5)

• n + 4 Remainder of 2

• n - 7 Remainder of 5

• n + 5 Remainder of -7

• n + 1 Remainder of 0

• remainder is 8

• remainder is -2

• remainder is 0

• remainder is 6

• remainder is 0

• remainder is 2

• remainder is -28

• remainder is 24

• Yes, x-3 is a factor of p(x) since the remainder is 0.

• No, x-3 is not a factor of p(x) since the remainder is 0.

• x-7 is a factor of p(x).

• x+7 is a factor of p(x).

• -7 is a solution of p(x).

• 7 is a solution of p(x).