Maharashtra State BoardSSC (English Medium) 9th Standard
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Which Polynomial is to Be Subtracted from X2 + 13x + 7 to Get the Polynomial 3x2 + 5x - 4? - Algebra

Sum

Which polynomial is to be subtracted from x2 +  13x + 7 to get the polynomial  3x+ 5x - 4?

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Solution

Let p(x) be the polynomial which is to be subtracted from x2 + 13x + 7 to get the polynomial  3x+ 5x − 4.

∴ (x2 + 13x + 7) − p(x) = 3x+ 5x − 4

⇒ p(x) = (x2 + 13x + 7) − (3x+ 5x − 4)

⇒ p(x) = x2 + 13x + 7 − 3x− 5x + 4

⇒ p(x) = x2 − 3x+ 13x − 5x + 7 + 4

⇒ p(x) = −2x+ 8x + 11

Thus, the required polynomial is −2x+ 8x + 11.

Concept: Operations on Polynomials
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APPEARS IN

Balbharati Mathematics 1 Algebra 9th Standard Maharashtra State Board
Chapter 3 Polynomials
Problem Set 3 | Q 14 | Page 56
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