SOLUTION: Let {{{ h(x)=4x^4+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 cor

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Question 1155606: Let . 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.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39630)   (Show Source): You can put this solution on YOUR website!
The remainder upon doing the synthetic division is . 
-3    |    4    15    0    -10    2
      |
      |        -12   -9    27    -51
      ---------------------------------------
           4   3   -9     17    -49

The 'quotient' part is .

The function in the form asked for is
.
Answer by MathTherapy(10556)   (Show Source): You can put this solution on YOUR website!
Let . 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.
Using LONG DIVISION of POLYNOMIALS or SYNTHETIC DIVISION, we get: 

We then get: . 

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