Question

one of the zeros of the polynomial 35 x square - 9 x minus 18 is​

Answer 1

Given:

The polynomial: 35 x² - 9 x - 18

To Find:

One of its zero.

Solution:

- To find zeroes, we will use:

35 x² - 9 x - 18 = 0

- We will solve this by factorization method as follows:

35 x² - (30 - 21) x - 18 = 0

⇒ 35 x² - 30 x + 21 x - 18 = 0

⇒ 5x (7 x - 6) + 3 (7 x - 6) = 0

⇒ (7 x - 6) (5x + 3) = 0

- Equating both of these to 0, we get:

7 x - 6 = 0

⇒ x = 6/7

and 5x + 3 = 0

⇒ x = -3/5

- So, the zeroes of the given polynomial are (6/7) and (-3/5).

Answer 2

Zeroes of the polynomial = (+6/7) and (-3/5).

Step-by-step explanation:

Given: 35x² -9x -18

Find: One of its zero.

Solution:

 35x² -9x - 18 = 0

 35x² -30x +21x - 18 = 0

5x (7x - 6) + 3(7x - 6) = 0

 (5x + 3) (7x - 6) = 0

If 5x+3 = 0, then x = -3/5

If 7x-6 = 0, then x = 6/7

The zeroes of the polynomial = (+6/7) and (-3/5).