Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 9th
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Factorise the following polynomials using synthetic division: – 7x + 3 + 4x3 - Mathematics

Sum

Factorise the following polynomials using synthetic division:

 – 7x + 3 + 4x3

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Solution

p(x) = – 7x + 3 + 4x3

= 4x3 – 7x + 3

p(1) = 4(1)3 – 7(1) + 3

= 4 – 7 + 3

= 7 – 7

= 0

∴ x – 1 is a factor

4x2 + 4x – 3 = 4x2 + 6x – 2x – 3

= 2x(2x + 3) – 1(2x + 3)

= (2x + 3)(2x – 1)

∴ The factors of – 7x + 3 + 4x3 = (x – 1)(2x + 3)(2x – 1)

Concept: Synthetic Division
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APPEARS IN

Samacheer Kalvi Mathematics Class 9th Tamil Nadu State Board
Chapter 3 Algebra
Exercise 3.8 | Q 1. (iii) | Page 114
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