Question

What is r(remainder) when (4x3 + 2x2 – 18x + 38) ÷ (x – 3)

Answer 1

Do you know how to do long division of polynomials? or synthetic division? either of those two methods will give you the answer.

Answer 2

i got 110

Answer 3

lets see:
\[4(3)^3+2(3)^2-18(3)+38 = 110\]so yes you are correct :)

Answer 4

What is the solution to the equation log4 x + log4 2 = 3 ?

do u know the answer to this?

Answer 5

hmm, you can use the properties of logs to combine the two being added. Use:\[\log_b(x)+\log_b(y)=\log_b(xy)\]

Answer 6

That would give you:\[\log_4(2x)=3\]

Answer 7

okay what did you get as an answer

Answer 8

32 i believe, since:\[\log_4(2x)=3\Longrightarrow 4^3 = 2x\iff 64=2x\iff x = 32\]

Answer 9

i got 32 also.

how about this?
If f(x) = 5x2 – 8x + 13 and g(x) = 6x – 5, what is f(x) + g(x)?