What is the remainder of x3 + 4x2 − 7x + k divided by (x − 2)?

Question

shaniehh · Answer

A. k + 22
B. 10 − k
C. k
D. k + 10

shaniehh · Answer

I got $$ \frac{ x ^{3}+4^{2}-7x+k }{ x-2 }$$ but thats on in the any answer

shaniehh · Answer

@Directrix

mathmale · Answer

Big question:  Are y ou familiar with synthetic division?  If not, you could still use long division to answer this question.  Which will it be?

directrix · Answer

You set up the division problem but did not carry out the long division. So, there is more work to do.

Do you know synthetic division? Just wondering.  @shaniehh

shaniehh · Answer

I know i heard of it but i forgot

directrix · Answer

@shaniehh   Look at the problem. Is there an x or a power of x missing after the 4^2 in the numerator?

shaniehh · Answer

just x

mathmale · Answer

Shaniehh:  It's really important that you look things up to review them if you've forgotten them.
 You could solve this problem using either long division or synthetic division.  Please decide which would be the easier for y ou to understand.

mathmale · Answer

Asking Directrix' question in another way:  By x3, do you mean x^3, the third power of x, or do you mean 3x?

mathmale · Answer

Shaniehh:  to save time I'm going to assume that your dividend consists of multiples of the third, second, first powers of x, plus or minus a constant.  Then, your x3 + 4x2 − 7x + k, properly written to show exponentiation, is x^3 + 4x^2 - 7x + k.

You are to divide that by the binomial x-2.  Have you done this before?  If so, please get started.  Decide:  long division or synthetic division.  Show your work in the Draw utility if possible.

directrix · Answer

@shaniehh      Is this the problem?

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