Question

can someone help plzzzz!! i will medal and fan

Answer 1

Find the remainder when f(x) = x3 − 14x2 + 51x − 22 is divided by x − 7.

36
8
−8
−36

Answer 2

lol it's ok

Answer 3

What have you done so far ?

Answer 4

nothin idk how to do it

Answer 5

Ok I'm gonna start to show you the method, and you try to complete.

Answer 6

ok

Answer 7

You see what I did there, I multiply (x-7) by x^2 because that's how we get rid of the x^3.

Answer 8

oh ok

Answer 9

So now how do we get rid of the -7x^2 ?

Answer 10

do u have to add 22 to both sides??

Answer 11

We can't do that. We are dividing.
We need to find something, that, when multiplied by x is gonna give -7x^2

Answer 12

so we have to find a number to divide by -7x^2

Answer 13

@courtney_celiene1236

Answer 14

Yes, a term when multiplied by (x-7) will give -7x^2 . Which here is -7x.

Answer 15

Can you go on from here ?

Answer 16

yea do i just divide 2 by -22

Answer 17

Here we are dividing the rest which is (2x-22) by (x-7)

Answer 18

so would it be written like 2x-22/x-7

Answer 19

or would it be 2x-22 over x-7

Answer 20

Here's what we did before :
x3 − 14x2 + 51x − 22 = x²(x-7) - 7x2 + 51x - 22
Then :
x²(x-7) - 7x2 + 51x - 22 = (x² - 7x)(x-7) + 2x - 22

Answer 21

so would the answer be -8

Answer 22

Yes -8 is correct

Answer 23

yessss

Answer 24

there's an easier way to do this
Use the Remainder Theorem:-
If a polynomial is divided by (x - a) then the remainder is given by f(a).

Answer 25

so if you replace x in the given polynomial by 7 and find f(7) you'll get the remainder.

Answer 26

f(7) = 343-686 + 357- 22 = -8