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SAT Math 1.5 Algebra and Functions. If f (x) = x2 - 16 and g(x) = x4 - 256, what is f of x divided by g of x?
Recognizing Polynomial Factors 5 Views
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Description:
When x = 12, a certain polynomial, y, equals 0. Which of the following must be true about the polynomial y?
Transcript
- 00:00
Yeah Whoa All right Next up satay Shmoop er's Here
- 00:05
we go Let's just get into it When X is
- 00:07
twelve A certain polynomial why equals zero Which of the
- 00:10
following must be true about that polynomial Why You know
- 00:15
X money spells a factor Twelve's a factor X plus
Full Transcript
- 00:18
twelve factors Well son enough to know just the facts
- 00:22
here Ma'am We need to dive into the factors as
- 00:25
well A polynomial factors indicate where the polynomial equals zero
- 00:29
For example if why is quantity x minus eight times
- 00:33
quantity x minus B times quantity exponents See Well then
- 00:36
we call quantity Explain It's a quantity x men being
- 00:39
quantity X minus C factors of the polynomial because they
- 00:42
divide the polynomial evenly with remainder of zero You can
- 00:45
also see that if X equals a B or C
- 00:47
Well then why equals zero right Because zero times anything
- 00:50
is always going to be zero Right Well applying this
- 00:53
idea to the question if y equals zero when X
- 00:55
equals twelve Well then we know that x minus twelve
- 00:58
is a factor of why So that's it saying that
- 01:01
twelve is a factor of the polynomial like in B
- 01:04
and the remainder of wide vital twelve zero actually implied
- 01:08
the same thing that twelve divides the polynomial We don't
- 01:11
actually know that though Just because X minus twelve's a
- 01:14
factor doesn't mean that just twelve is as well but
- 01:17
X plus twelve being a factor Lexie would be true
- 01:20
if X equals negative twelve lead to y equals zero
- 01:24
but we don't know that So it's a
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