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Worksheets4.5 Warmup 05/06/2024
Total questions: 10
Worksheet time: 19mins
Use Descartes Rule of Signs to determine the possible number of positive roots the following polynomial equation.
5x4-9x3+ 5x2-5x-4=0
4 , 2 or none
3 or 1
4
3
How many negative solutions does the following polynomial equation have?
6x5 - 2x4 + x2 - 7x +1=0
1
4,2 or none
3 or 1
3
How many possible negatives solutions does the following polynomial equation have?
2x4 - x3 - 10x2 + 3x -4=0
1
2 or none
3
3 or 1
How many positive solutions does the following polynomial equation have?
f(x) =x4 + 3x2 - 6x +15
3 or 1
3
2
2 or none
f(x)= x5 - 3x3 + x
List the possible rational zeros of
f(x) = x3 - 4x2 -4x + 16
1, 2, 4, 8, 16
±1,±2,±4,±8,±16
±1,±4,±41
-2 and-4
f(x) = 3x5-5x2+x+6
What is the behavior of the graph of a given polynomial function f(x) = − x5 + 2x4 + 3x2 + 4
Rising to left, falling to right
Falling to left, rising to right
Falling both left and right
Rising both left and right
zeros of the polynomial
y = 3(x + 4)(x + 1)(x - 3)?
If a zero of a polynomial function has multiplicity 3 that means:
The x intercept is at (4, 0)
The graph will "bounce back" at that zero
The graph will "pass through" at that zero
Zeros cannot have multiplicity of 4
