Question

find the zeroes of the polynomial x²+⅙x-2

​

Answer 1

Answer:

-4/3 and 3/2 !!

Step-by-step explanation:

pls mark it as brainiest !!

Answer 2

$\huge\mathfrak\red{Answer:}$

Given:

• We have been given a quadratic polynomial x² + ⅙x - 2.

To Find:

• We need to find the zeroes of this polynomial.

Solution:

The given polynomial f(x) is x² + ⅙x - 2.

We first need to multiply this equation by 6, we get

6x² + x - 12 = 0

Now, we can find the zeroes of this equation by the method of splitting the middle term.

We need to find two such numbers whose sum is 1 and product is -72.

So, two such numbers are 9 and -8.

=> 6x² + 9x - 8x - 12

= 3x(2x + 3) - 4(2x + 3)

= (2x + 3) (3x - 4)

Either 2x + 3 = 0 or 3x - 4 = 0.

When 2x + 3 = 0

=> 2x = -3

=> x = -3/2

When 3x - 4 = 0

=> 3x = 4

=> x = 4/3

Hence, zeroes of x² + ⅙x - 2 are -3/2 and 4/3.