Question

What are the zeros of the polynomial function F(x) = xᶺ2 – 5x – 6?

Answer 1

The zeros of F(x) are -1 and 6

Explanation:

It is given a polynomial

F(x) = x² - 5x - 6

To find the zeros of polynomial

F(x ) = x² - 5x - 6

Using splitting method

F(x ) = x² - 5x - 6 = F(x ) = x² + x - 6x - 6

= x( x + 1) - 6 (x + 1)

= (x + 1)(x - 6)

Therefore the zeros of F(x) are -1 and 6

Answer 2

First, you need to factor the function. You can do this by finding a pair of numbers whose product is equal to the c term (-6) and whose sum is equal to the b term (-5). These numbers are -6 and 1 (-6*1=-6, -6+1=5). The factored expression takes the form:

(x+1)(x-6)=0

The zeroes can be found by flipping the signs in the parentheses. The zeroes are equal to each number.

The zeroes are -1 and 6.

Hope this helps!!