Remainder Factor Theorem

If (x + 1) is a factor of 2 x ³ + a x ² + 2 bx + 1, then find the values of a and b given that 2 a – 3 b = 4

• a = –1, b = –2

• a = 2, b = 5

• a = 5, b = 2

• a = 2, b = 0

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

Find all the zeros, given that f(-3) = 0
f(x) = 2x³+5x²-6x-9

• -1,-3,-3

• -1,-3,3/2

• 3,3,3

• -3,2/3,-1

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

• Yes

• No

(x – r) is a factor of P(x) if and only if __________.

• P(r) ≠ 0

• P(r) = 1

• P(r) = 0

• P(r) has two negative roots

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

• x+4 is a factor of P(x)

• P(x) = 0, has four negative roots

• 4 is a root of P(x) = 0

• P(0) = - 4

Is (y + 3) a factor of the polynomial: y³ - 6y + 9

• yes

• no

• maybe

• only on Tuesday's

4x⁴+4x³-9x²-x+2 ÷ x-1

• 4x³+8x²-7x-2

• 4x³+19x²-x-2

• 4x³+8x²-x-9

• 4x³+8x²-x-2

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