Linear Factors

If the problem asks you to factor a polynomial knowing that (x - 5) is a factor, what number do you synthetically divide by?

• -5

• 5

Factor the polynomial.  One factor is (x - 5).
f\left(x\right)=2x^3-9x^2-11x+30

Solve for the values of x:
(x - 3)(x + 6) = 0

• { -3, -6 }

• { 3, -6 }

• { -3, -6 }

• { 3, 6 }

Solve for the values of x:

(x - 5)(x - 1) = 0

• (5, 0) or (1, 0)

• (-5, 0) or (-1, 0)

• (0, -5) or (0, -1)

• (0, 5) or (0, 1)

What are the linear terms of the polynomial function?

• (x-2)(x-1)(x+1)(x-2)

• (x-2)(x-1)(x+1)(x+2)

• (x-2)(x-1)(x+1)(x+2)(x-4)

• (x-2)(x-1)(x+1)(x+2)(x+4)

• f(x) = (x + 2)(x − 3)²(x − 1)
• f(x) = (x − 2)(x + 1)(x + 3)²
• f(x) = (x + 2)(x − 1)(x − 3)
• f(x) = (x − 1)²(x − 3)(x + 2)

• p(x) = (x − 1)(x + 2)(x + 5)
• p(x) = (x + 1)(x − 2)²(x − 5)
• p(x) = (x − 1)²(x + 2)(x + 5)
• p(x) = (x − 1)(x + 2)²(x + 5)

What are the linear factors of the graph below?

• (x-1) and (x + 2)

• (x - 2) (x + 1)

• (x - 2) (x - 1)

• (x + 1) (x + 2)

Which expression is equivalent to (x - 2)(x + 5)?

• The zeros are 2 and 4 because the linear factors are (x - 2) and (x - 4)

• The zeros are 2 and -4 because the linear factors are (x - 2) and (x + 4)

• The zeros are -2 and -4 because the linear factors are (x + 2) and (x + 4)

• The zeros are -2 and 4 because the linear factors are (x + 2) and (x - 4)