Question

find the zeroes of the polynomial 3x² - 2x - 5​

Answer 1

Answer:

3x=5

Step-by-step explanation:

The zeroes of a polynomial 3x 2 -2x-5 are ______________

Given :- ⇒ f(x) = 3x² - 2x - 5.

To Find :- ⇒ Zeroes of the polynomial.

Solution :- ★ By splitting Middle term ★ ⇒ 3x² - 2x - 5 = 0. ⇒ 3x² - 5x + 3x - 5 = 0. ⇒ x ( 3x - 5 ) + 1 ( 3x - 5 ) = 0. ⇒ ( x + 1 ) ( 3x - 5 ) = 0. When x + 1 = 0. ⇒ x = - 1. When 3x - 5 = 0. ⇒ 3x = 5.

Answer 2

Solution:-

→ 3x²-2x-5

→ 3x²+3x-5x-5

→ 3x(x+1)-5(x+1)

→ (x+1)(3x-5)

→ x = -1 (or) 5/3

• Zeros are -1 (or) 5/3

$\Large{✓}$

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