# 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?

Product Type | SAT Math |

SAT | SAT Math |

SAT Math | Algebra and Functions Passport to Advanced Math |

Test Prep | SAT Math |

### Transcript

twelve factors Well son enough to know just the facts

here Ma'am We need to dive into the factors as

well A polynomial factors indicate where the polynomial equals zero

For example if why is quantity x minus eight times

quantity x minus B times quantity exponents See Well then

we call quantity Explain It's a quantity x men being

quantity X minus C factors of the polynomial because they

divide the polynomial evenly with remainder of zero You can

also see that if X equals a B or C

Well then why equals zero right Because zero times anything

is always going to be zero Right Well applying this

idea to the question if y equals zero when X

equals twelve Well then we know that x minus twelve

is a factor of why So that's it saying that

twelve is a factor of the polynomial like in B

and the remainder of wide vital twelve zero actually implied

the same thing that twelve divides the polynomial We don't

actually know that though Just because X minus twelve's a

factor doesn't mean that just twelve is as well but

X plus twelve being a factor Lexie would be true

if X equals negative twelve lead to y equals zero

but we don't know that So it's a