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Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial - Mathematics

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Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial

t2 – 3, 2t4 + 3t3 – 2t2 – 9t – 12

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Solution

t2 - 3, 2t4 + 3t3 - 2t2 - 9t - 12

t2 - 3 = t2 + 0.t - 3

Since the remainder is 0,

Hence, t2 - 3 is a factor of 2t4 + 3t3 - 2t2 - 9t - 12

Concept: Division Algorithm for Polynomials
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APPEARS IN

NCERT Class 10 Maths
Chapter 2 Polynomials
Exercise 2.3 | Q 2.1 | Page 36
RD Sharma Class 10 Maths
Chapter 2 Polynomials
Exercise 2.3 | Q 2.1 | Page 57

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