SOLUTION: Let {{{ h(x)=4x^2+15x^3-10x+2 }}}. Express h(x) in the form h(x)=q(x)(x+3)+r where q(x) is a polynomial and r is a number. Use the Remainder Theorem to check that you have the corr

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Let {{{ h(x)=4x^2+15x^3-10x+2 }}}. Express h(x) in the form h(x)=q(x)(x+3)+r where q(x) is a polynomial and r is a number. Use the Remainder Theorem to check that you have the corr      Log On


   

Question 1155595: Let +h%28x%29=4x%5E2%2B15x%5E3-10x%2B2+. Express h(x) in the form h(x)=q(x)(x+3)+r where q(x) is a polynomial and r is a number. Use the Remainder Theorem to check that you have the correct remainder.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

+h%28x%29=4x%5E2%2B15x%5E3-10x%2B2+....rearrange terms

+h%28x%29=15x%5E3%2B4x%5E2-10x%2B2+

Express h%28x%29 in the form h%28x%29=q%28x%29%28x%2B3%29%2Br+where q%28x%29 is a polynomial and r is a number.

...........(15x%5E2-41x%2B113
%28x%2B3%29|15x%5E3%2B4x%5E2-10x%2B2+
...........15x%5E3%2B45x%5E2
................-41x%5E2-10x
................-41x%5E2-123x
.......................113x%2B2
.......................113x%2B339
...........................-337
q%28x%29=15x%5E2-41x%2B113 is a polynomial and r=-337
h%28x%29=%2815x%5E2-41x%2B113%29%28x%2B3%29-337+