Question

divide each of the following polynomials by synthetic division method and also by linear division method. Write the quotient and the remainder. (1) (2m^2 - 3m + 10) ÷(m-5)​

Answer 1

Solution  

Dividend =2m  

2

−3m+10

Divisor =m−5

Opposite of −5=5

The coefficient from of the quotient is (2,7)

∴ Quotient =2m+7 and remainder =45

Linear method :

2m  

2

−3m+10

=2m(m−5)+10m−3m+10

=2m(m−5)+7(m−5)+35+10

=(m−5)×(2m+7)+45