ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos


Passport to Advanced Math Videos 52 videos

SAT Math 9.2 Algebra and Functions
377 Views

SAT Math 9.2 Algebra and Functions

SAT Math 9.4 Algebra and Functions
1300 Views

SAT Math 9.4 Algebra and Functions

Multiplying Polynomials to Find an Unknown Constant
3 Views

In the equation above, if a, b, and c are all constants, what is c?

See All

Recognizing Polynomial Factors 5 Views


Share It!


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

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

Related Videos

SAT Math 1.1 Algebra and Functions
315 Views

SAT Math 1.1 Algebra and Functions. Find an algebraic equation to correspond with the data.

SAT Math 1.1 Geometry and Measurement
719 Views

SAT Math 1.1 Geometry and Measurement. What is the circumference of the circle?

SAT Math 1.1 Numbers and Operations
280 Views

SAT Math 1.1 Numbers and Operations. How many combinations of beverage and cereal can be made?

SAT Math 1.1 Statistics and Probability
289 Views

SAT Math 1.1 Statistics and Probability. In which of the following data sets are the arithmetic mean and the median equal?

SAT Math 1.2 Algebra and Functions
359 Views

SAT Math: Algebra and Functions Drill 1, Problem 2. Based on the data in the table, what is the maximum heart rate for the average 22-year-old?