# SAT Math: Recognizing Polynomial Factors

When x = 12, a certain polynomial, y, equals 0. Which of the following must be true about the polynomial y?

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### 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