Divide the polynomial p(x) by the polynomial g(x) and find the quotient q(x) and reminder r(x) in each case: p(x)=x4+2x3−3x2+x−1,g(x)=x−2
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Solution
p(x)=x4+2x3−3x2+x−1,g(x)=x−2 Dividend =x4+2x3−3x2+x−1 Divisor =x−2 Here, dividend and divisor both are in the standard form. Now, on dividing p(x) by g(x) we get the following division process Quotient =x3+4x2+5x+11 Remainder =21