Polynomials Basics Precalculus

Factor by grouping:
3x³-x²+6x-2

• (x²+2)(3x+1)
•  (x²+2)(3x-1)
• (3x³+6x)(x²-2)
• none of the aboe

Solve
8x³+125=0

• x=-5/2, x=(-5±5i√3)/4
• x=-5/2, x=(5±5i√3)/4
• x=-2/5, x=(-5±5i√3)/4
• x=-2/5, x=(5±5i√3)/4

(2x³ - 5x² + 3x + 7) ÷ (x - 2)

• 2x³ - x² + x + 9
• 2x² - x + 1
• 2x² - x + 1 + 9/x-2
• 2x² - 9x - 15 - 23/x-2

List all possible rational zeros
f(x) = 3x⁵-5x²+x+6

• 1, 2, 3, 6, -1, -2, -3, -6
• 1/3,2/3,1,2,3,6,-1/3,-2/3,-1,-2,-3,-6
• 1/3,2/3,1,2,3,6

Give the equation of the 4th degree polynomial with zeros: 1 with multiplicity 2 and i. 

• x² - 4x + 4
• x³ - 4x² + 4x +ix² -4ix + 4i
• x⁴ - 4x³ + 5x²-4x + 4
• x⁴ - 4x³ + 5x²-4x + 4i

What is the predicted end behavior of: y=-2x⁴+3x-1

• up on both ends
• down on both ends
• up on left, down on right
• down on left, up on right

Decide if (x-3) is a factor of 3x³+10x²-x-12

• Yes, it is a factor
• No, it is not a factor

Find all zeros for the polynomial function P(x) = x³ -3x²-5x+15

• 3, √5 
• 3, √5, -√5
• -3, √5, -√5
• -3, 5i, -5i

Match the equation to the graph.

• y=-(x+1)(x-2)(x-4)
• y=(x+1)²(x-3)(x-1)³
• y = 3x³ – 2x + 1
• y=(x+1)³(x-3)(x-1)²

• y =  ^_(x + 2)(x - 1)²
• y = -(x - 2)(x + 1)²
• y = (x - 2)(x + 1)²
• y = -x³