document.write( "Question 820946: Find the value of f(x)=-16x^3+18x^2-x+2 at x=-2 using synthetic division. \n" ); document.write( "

Algebra.Com's Answer #494177 by jsmallt9(3758) $\"\"$ $\"About$

You can put this solution on YOUR website!
First of all, please post in a relevant category. You posted this under Quadratic Equations but it is not a quadratic. I have changed the category to an appropriate one: Polynomials.

\n" ); document.write( "It is the Remainder Theorem which allows us to divide a polynomial in order to find the value of the polynomial for some value of x. To find the value of f(-2) we will divide by (x-(-2)). Using synthetic division to divide:
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document.write( "-2  |  -16   18    -1    2\r\n" );
document.write( "-----        32  -100  202\r\n" );
document.write( "       -------------------\r\n" );
document.write( "       -16   50  -101  204\r\n" );
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The remainder is in the lower right corner. The Remainder theorem tells us that the remainder will be f(-2). So f(-2) = 204 \n" ); document.write( "

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