Solving Polynomials (Given Zero and Factor) Spring 2022

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How can I tell, when doing synthetic division, if the binomial is a FACTOR of the polynomial?

• The remainder is zero

• They are all factors

• We can't tell

• The remainder is a constant

• 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. 

• x=-5, 10, -3

• x= 5 , -10 , -3

Find all zeros given one zero.

f(x) = x³-5x²-2x+24; x= - 2

• x = -2,1,0

• x = -2,-3,-4

• x = -2, 4,3

• x = 0

Solve

2x³ - 19x² + 38x + 24=0 given that (x-4) is a factor.

• x = 1/2, -6, 4

• x = -1/2, 6, -4

• x = 4, -1/2, 6

• x = -4, 1/2, -6

Solve

x³ +7x² +7x -15=0 given that (x -1) is a factor

• 1, -5, 3

• 1, -5, -3

• -1, -5, 3

• -1, 5, 3

Solve the equation if you know (x-5) is a factor.

x³ - 5x² + 2x - 10=0

Is (x-1) a factor of f(x)= x³-8x²+14x-4?

• Yes, (x-1) is a factor. There is a remainder.

• No, (x-1) is not a factor. The remainder is zero.

• Yes, (x-1) is a factor. The remainder is zero.

• No, (x-1) is not a factor. There is a remainder.

• no

• yes