Mathematics
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OpenStudy (anonymous):
What are the zeros of the polynomial function: f(x) = (x + 4)(2x + 1)(x – 7)
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jimthompson5910 (jim_thompson5910):
Hint:
If ABC = 0, then A = 0, B = 0 or C = 0
So if
(x + 4)(2x + 1)(x – 7) = 0
then
x+4=0, 2x+1=0 or x-7=0
jimthompson5910 (jim_thompson5910):
Solve each equation for x to get your 3 answers
OpenStudy (anonymous):
but im not good in algebra.
jimthompson5910 (jim_thompson5910):
x+4 = 0
x+4-4 = 0-4
x = -4
See how I got that?
OpenStudy (anonymous):
yes can you keep explaining
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jimthompson5910 (jim_thompson5910):
2x+1=0
2x+1-1=0-1
2x=-1
2x/2 = -1/2
x = -1/2
So that's another zero
jimthompson5910 (jim_thompson5910):
Note: a zero is another term for root (or solution) to an equation
jimthompson5910 (jim_thompson5910):
Finally,
x-7=0
x-7+7=0+7
x=7
is the third zero (or root or solution)
jimthompson5910 (jim_thompson5910):
So the three zeros are:
-4, -1/2, or 7
OpenStudy (anonymous):
okay soo...
x-7=0
x-7+7=0+7
x=7 rightt?
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jimthompson5910 (jim_thompson5910):
you nailed it
jimthompson5910 (jim_thompson5910):
that's one of the zeros
OpenStudy (anonymous):
sweeeet i know how to do it now.
jimthompson5910 (jim_thompson5910):
that's great :)
OpenStudy (anonymous):
are you good in f(x)= ?