3.4 Solve polynomial Equations

The polynomial is...

• Odd degree, positive leading coefficient.
• Odd degree, negative leading coefficient.
• Even degree, positive leading coefficient.
• Even degree, negative leading coefficient.

How many roots or zeros does the equation
f(x) = 5x⁴-8x³+4x²-6x+3 have?

• 3
• 4
• 5
• 0

• 2
• 1
• 4
• None

• None
• 1
• 2
• 4

f(x) = x³ - 3x² - 4x

Find the zeros of f(x).

• {-4, 0, 1}

• {-1, 4}

• {-1, 0, 4}

• {-4, 1}

Is (x-7) a factor of (x²-5x+14)?

• Yes
• No

Tags

CCSS.HSA.APR.B.2

Find all the roots of y=x³-2x²+4x-8  (Hint: Factor)

• -2, 2i, -2i
• 2, 2i, -2i
• 2,-2, 2i
• 1, 2i, 4

Tags

CCSS.HSF-IF.C.7C

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

What is the equation in factored form of this graph?

• f(x) = (x-4)(x-1)²(x+2)(x+4)
• f(x) = (x-4)(x+1)²(x+2)(x+4)
• f(x) = (x-4)(x-1)²(x-2)(x+4)
• f(x) = (x+4)(x+1)²(x-2)(x-4)

Tags

CCSS.HSA.APR.B.3

Find all zeros for the polynomial function
Factor by grouping and then set = 0 to find zeros.
P(x) = x³ -3x²-5x+15

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

Tags

CCSS.HSF-IF.C.7C