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2. Polynomials
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Q3 of 90 Page 2

Divide the polynomial p(x) by the polynomial g(x) and find the quotient q(x) and remainder r(x) in each case :

p(x) = x3 – 3x2– x + 3, g(x) = x2 – 4x + 3


p(x) = x3 – 3x2– x + 3, g(x) = x2 – 4x + 3


Dividend = x3 – 3x2– x + 3


Divisor = x2 – 4x + 3


Here, dividend and divisor both are in the standard form.


Now, on dividing p(x) by g(x) we get the following division process we get,



q(x)= x + 1


r(x) = 0


More from this chapter

All 90 →
3

Divide the polynomial p(x) by the polynomial g(x) and find the quotient q(x) and remainder r(x) in each case :

p(x) = 2x4 + 3x3 + 4x2 + 19x + 45, g(x) = x – 2

3

Divide the polynomial p(x) by the polynomial g(x) and find the quotient q(x) and remainder r(x) in each case :

p(x) = x4 + 2x3 – 3x2 + x – 1, g(x) = x – 2

3

Divide the polynomial p(x) by the polynomial g(x) and find the quotient q(x) and remainder r(x) in each case :

p(x) = x6 + x4 + x3 + x2 + 2x + 2, g(x) = x3 + 1

3

Divide the polynomial p(x) by the polynomial g(x) and find the quotient q(x) and remainder r(x) in each case :

p(x) = x6 + 3x2 + 10 and g(x) = x3 + 1

Questions · 90
2. Polynomials
1 2 3 1 1 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 4 5 6 7 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 11 12 12 13 13 1 2 3 3 3 3 3 3 3 3 4 5 6 6 6 6 6 6 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 10 11 11 11 11 12 13 14 15 15 15 15
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