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Which are zeros of the following polynomial?

6x 2 - 11x - 10 = 0

x = 6, x = 10
x = ; x =
x = -2; x = 5
x = ; x =

User Spliter
by
4.7k points

1 Answer

4 votes

Answer:

The value of x is -2/3 and 5/2

Explanation:

In order to find the value of x, you have to factorized the equation first by breaking out 11x into 4x and -15x :

6x² - 11x - 10

= 6x² + 4x - 15x - 10

= 2x (3x + 2) - 5(3x + 2)

= (2x-5)(3x+2)

Next you have to solve it :

(2x-5)(3x+2) = 0

2x - 5 = 0

2x = 5

x = 5/2

3x + 2 = 0

3x = -2

x = -2/3

User Richb
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