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Polynomials
Question
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Check whether the first polynomial is a factor of the second polynomial by applying the division algorithm.
t2 – 3,  2t4 + 3t3 – 2t2–9t – 12

Answer


Here, the remainder is zero, hence t2 – 3 is a factor of 2r4 + 3t3 – 2t2 – 9t – 12.

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Some More Questions From Polynomials Chapter

Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following:
p(x) = x3 – 3x2 + 5x – 3,    g(x) = x2 – 2

Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following:
p(x) = x4 – 3x2 + 4x + 5,      g(x) = x2 + 1 – x

Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following :
p(x) = x4 – 5x + 6,      g(x) = 2 – x2.

Check whether the first polynomial is a factor of the second polynomial by applying the division algorithm.
t2 – 3,  2t4 + 3t3 – 2t2–9t – 12