Studdy AI Logo
Math  /  Algebra

Question2. a. x3+x−8x2+37x+4=x2−12x+49−159x+4\frac{x^{3}+x-8 x^{2}+37}{x+4}=x^{2}-12 x+49-\frac{159}{x+4} b. 10x3−9x2−8x+115x−2=2x2−x−2+75x−2\frac{10 x^{3}-9 x^{2}-8 x+11}{5 x-2}=2 x^{2}-x-2+\frac{7}{5 x-2} c. 3x+2−x3x−2=−x2−2x−1\frac{3 x+2-x^{3}}{x-2}=-x^{2}-2 x-1 d. x4−2x2+12x−4=x3+4x2+14x+56+236x−4\frac{x^{4}-2 x^{2}+12}{x-4}=x^{3}+4 x^{2}+14 x+56+\frac{236}{x-4} e. x5−2x4−7x3+13x2+2x−18x2−2x−3=x3−4x+5−3x2−2x−3\frac{x^{5}-2 x^{4}-7 x^{3}+13 x^{2}+2 x-18}{x^{2}-2 x-3}=x^{3}-4 x+5-\frac{3}{x^{2}-2 x-3}

Studdy Solution
We successfully performed polynomial long division for all problems and confirmed the given answers!
Specifically: a) x2−12x+49−159x+4x^2 - 12x + 49 - \frac{159}{x+4}, b) 2x2−x−2+75x−22x^2 - x - 2 + \frac{7}{5x-2}, c) −x2−2x−1-x^2 - 2x - 1, d) x3+4x2+14x+56+236x−4x^3 + 4x^2 + 14x + 56 + \frac{236}{x-4}, and e) x3−4x+5−3x2−2x−3x^3 - 4x + 5 - \frac{3}{x^2 - 2x - 3}.

View Full Solution - Free
Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord