Higher Degree Polynomials

How many zeros does the polynomial function
 P(x) = 3x⁴+4x-8 have?

• 1

• 2

• 3

• 4

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient 

• Leading Coefficient Positive
  Degree - Even

• Leading Coefficient Positive
  Degree - Odd

• Leading Coefficient Negative
  Degree - Even

• Leading Coefficient Negative
  Degree - Odd

Factor completely:
2x³ + 5x² - 8x - 20

• (x² - 4)(2x + 5)

• (2x - 5)(x² + 4)

• (2x² - 4)(x + 5)

• (x - 2)(x + 2)(2x + 5)

Solve the following equation:
x⁴ + x² - 90 = 0

• 3, -3, ±√10

• 3, -3

• ±√10

• 3

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4w⁴ + 16w² + 15

• (w² + 10)(w² + 6)

• (2w²+ 5)(2w² + 3)

• (w² + 15)(4w² + 1)

• (2w + 5)(2w + 3)

Factor completely: x⁴-10x²+9

• (x-9)(x-1)

• (x²-9)(x²+1)

• (x-3)(x+3)(x²-1)

• (x+3)(x-3)(x+1)(x-1)

Factor Completely: x⁴-9x²

• x²(x+3)(x-3)

• (x²+3x)(x²-3x)

• (x²+9)(x-3)(x+3)

• x²(x²-9)

16x⁴ - 49

• (4x² - 7)(4x² + 7)

• (4x - 7)(4x + 7)

• (2x - 7)(2x + 7)(4x² + 7)

• cannot be factored

Factor Completely (GCF and difference of squares): 5x⁴-5

• 5(x²-1)(X²+1)

• 25(x²-1)(x²+1)

• 5(x+1)(x-1)(x²+1)

• 5(x⁴-1)