Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
OpenStudy (anonymous):
@perl
OpenStudy (ahsome):
What it simply asks you is to divide \(x^4-9x^3-5x^2-3x+4\) by \(x+3\)
OpenStudy (ahsome):
And what is given out is the answer. The reason it says the remainder theorem means there will be a remainder
OpenStudy (ahsome):
Do you know how to do that?
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
P(x) = (x + 3)Q(x) + R
=> P(-3) = (0)Q(x) + R
i.e. P(-3) = R
Now, P(-3) = (-3)⁴ - 9(-3)³ - 5(-3)² - 3(-3) + 4
so, P(-3) = 81 + 243 - 45 + 9 + 4
i.e. 292
OpenStudy (anonymous):
I got this but I dont get it
OpenStudy (ahsome):
Here is the thing, you don't know that x=3. How did you get that?
OpenStudy (ahsome):
It simply says x-3, not x-3=0. Since it doesn't equal to anything, you can't say x=3. x-3 is simply a factor of that equation. Divide the big equation with x-3, and you will get the answer
OpenStudy (ahsome):
You would need to either use a calculator, or long division in a test
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
Nello are you taking Algebra 2 at Connections Academy? (Connexus)