Question

Please help i’m so stuck i can’t do calc for the life of me

Answer 1

`-3x^2+29x-150+(946x^2-341x-756)/(x^3+6x^2-3x-5)` is the answer. See steps below.

Explanation:

`\mathrm{Divide\:the\:leading\:coefficients\:of\:the\:numerator\:}\\\\-3x^5+11x^4+33x^3-26x^2-36x-6\\\\\mathrm{and\:the\:divisor\:}x^3+6x^2-3x-5:\\\\\mathrm{Quotient}=(-3x^5)/(x^3)=-3x^2\\\\\mathrm{Multiply\:}x^3+6x^2-3x-5\mathrm{\:by\:}-3x^2\:\:\rightarrow\:\:-3x^5-18x^4+9x^3+15x^2\\\\\mathrm{Subtract\:}-3x^5-18x^4+9x^3+15x^2\mathrm{\:from\:}-3x^5+11x^4+33x^3-26x^2-36x-6\mathrm{\:to\:get\:new\:remainder}.\\\\\mathrm{Remainder}=29x^4+24x^3-41x^2-36x-6`

`=-3x^2+(29x^4+24x^3-41x^2-36x-6)/(x^3+6x^2-3x-5)`

Repeat the steps and you will reach a point where no further division is possible.

`=-3x^2+29x-150+(946x^2-341x-756)/(x^3+6x^2-3x-5)`