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Question 150375: 1. Consider the polynomial f(x)= x^3 + 6x^2 –9x-14
Find all of the zeros of the given polynomial. Test all possibilities.
2. If y varies inversely as x and y = 0.6 when x = 10, find y when x = 12.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Consider the polynomial f(x)= x^3 + 6x^2 –9x-14
Find all of the zeros of the given polynomial. Test all possibilities.
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the possibilities are all the factors of -14, both positive and negative.
Use snythetic division to test values:
1)....1....6....-9....-14
........1...7.....-2..|..-16 ---So 1 is not a zero
-7)....1....6....-9....-14
.......1.....-1..-2...|..0 ----/So -7 is a zero
Other zeroes are x = -1 and x = 2
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2. If y varies inversely as x and y = 0.6 when x = 10, find y when x = 12.
y = k/x
Find "k":
0.6 = k/10
k = 6
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Equation: y = 6/x
Find y when x = 12
y = 6/12
y = 1/2
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Cheers,
Stan H.
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