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Apply apply division algorithm find quotient and remainder on dividing each of the following f x is equal to 4 x cube + 8 x + 8 x square + 7 x is equal to 2 x square minus x + 1
Given: f(x)=4x3+8x2+8x+7 and g(x)=2x2-x+1
To find the quotient q(x) and remainder r(x) when f(x) is divided by g(x) using division algorithm
Here, degree of q(x) must be degree of f(x) - degree of g(x) = 3-2 = 1
Degree of r(x) must be < degree of g(x) = 2
Therefore, degree of q(x) is 1 and degree of r(x) < 2
Let q(x)=ax+b and r(x)=cx+d
Using division algorithm, we have
f(x)=g(x)q(x)+r(x)
Answered by Renu Varma | 07 May, 2020, 11:31: AM

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