Factor Theorem Polynomial

How could you determine    if x-2 is a factor of 2x³-5x²+x-2?

• Use synthetic division and see if the quotient is even

• Ask the person sitting next to me

• Use synthetic division and see if the remainder is zero

• Flip a coin

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. 

Find the zeros of the polynomial given one factor.

• X= 3,4,5

• x=-3,-4,-5

• x=-3,4,5

• x= 3, -4, -5

Factor
x² -16x + 48

• (x - 12)(x - 4)

• (x + 6)(x - 8)

• (x + 12)(x - 4)

• (x -16)(x - 3)

Is (x-4) a factor of (x³ +x² -16x-16)?

• YES

• NO

If (x + 3) is a factor of p(x), then p(- 3) = ​ (a)   .

• 0

• 3

• -3

• None of these.

If (x - 2) is a factor of x^3 - kx^2 + 2x - 4, then what is the value of k?

• -2

• -1

• 1

• 2

Which of the following is a completely factored polynomial?

• f(x)=2x⁴-3x³+8x-6

• f(x)=x²(x-1)(x+3)

• f(x)=x(x²-16)

• f(x)=(2x+1)(x²-3x-18)

Which best describes the multiplicity of a root?

• It is the number of times the corresponding factor is repeated

• It is the highest degree of the polynomial

• It is the number of times x is multiplied by itself

• It is the number of x-intercepts on a graph