Q1 of 90 Page 2

Divide 2x3 + 3x + 1 by x + 2 and find the quotient and the reminder. Is q(x) a factor of 2x3 + 3x + 1 ?

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 = 2x2 – 4x + 11


Remainder = – 21


No, 2x2 – 4x + 11 is not a factor of 2x3 + 3x + 1 because remainder ≠ 0


More from this chapter

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13

Find a quadratic polynomial whose zeroes are 1 and – 3. Verify the relation between the coefficients and zeroes of the polynomial.

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Find the quadratic polynomial sum of whose zeroes in 8 and their product is 12. Hence find the zeroes fo the polynomial.

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Divide 3x3 + x2 + 2x + 5 by 1 + 2x + x2 and find the quotient and the remainder. Is 1 + 2x + x2 a factor of 3x3 + x2 + 2x + 5

 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) = x3 – 3x2 + 4x + 2 , g(x) = x – 1