Question

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

Options

• 9

• 6

• 7

• 5

Answer 1

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.