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For the polynomial x5 – x4 + x3 – 8x2 + 6x + 15, the maximum number of linear factors is ______.

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Question

For the polynomial x5 – x4 + x3 – 8x2 + 6x + 15, the maximum number of linear factors is ______.

Options

  • 9

  • 6

  • 7

  • 5

MCQ
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Solution

For the polynomial x5 – x4 + x3 – 8x2 + 6x + 15, the maximum number of linear factors is 5.

Explanation:

We know that, a polynomial of degree n has at most n linear factors.

Since the given polynomial is of degree 5

So, it has a maximum of 5 linear factors.

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Applications of Factor Theorem
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Chapter 8: Factorization of Polynomials (Remainder and Factor Theorems) - Exercise 8 (B) [Page 107]

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Selina Concise Mathematics [English] Class 10 ICSE
Chapter 8 Factorization of Polynomials (Remainder and Factor Theorems)
Exercise 8 (B) | Q 1. (a) | Page 107
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