SOLUTION: Help me please! I don't know what to do! Identify the number of solutions or zeros. a) g(s)= 8s^6 - 3s^4 - 11s^3 - 2s^2 +4 b) 4 - 7x= x^2

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Question 147622: Help me please! I don't know what to do!
Identify the number of solutions or zeros.
a) g(s)= 8s^6 - 3s^4 - 11s^3 - 2s^2 +4
b) 4 - 7x= x^2 - 3x^5
Find all the zeros of the polynomial function.
a) f(x)= x^4 - 4x^3 - 20x^2 + 48x
b) h(x)= 2x^4 + x^3 + x^2 + x - 1
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Identify the number of solutions or zeros.
a) g(s)= 8s^6 - 3s^4 - 11s^3 - 2s^2 +4
Ans: Six
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b) 4 - 7x= x^2 - 3x^5
Ans: Five
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Find all the zeros of the polynomial function.
a) f(x)= x^4 - 4x^3 - 20x^2 + 48x
= x(x^3 - 4x^2 - 20x + 48)
x =0 is a zero
x =-4 is a zero
x = 2 is a zero
x = 6 is a zero
Comment: I found these zeroes with a graphing calculator.
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b) h(x)= 2x^4 + x^3 + x^2 + x - 1
x = -1 is a zero
x = 1/2 is a zero
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Using synthetic division:
-1)....2....1....1....1....-1
.........2...-1...2....-1..|..0
=================================
1/2....2....-1....2....-1
........2.....0....2...|..0
==============================
2x^2+2 = 0
x^2+1 = 0
x = i is a zero
x =-i is a zero
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Cheers,
Stan H.

SOLUTION: Help me please! I don't know what to do! Identify the number of solutions or zeros. a) g(s)= 8s^6 - 3s^4 - 11s^3 - 2s^2 +4 b) 4 - 7x= x^2 - 3x^5 Find all the zeros of the p