Question

in the polynomial 3x²-4x -7 find the sum of two zeros of the polynomial​

Answer 1

Answer:

4/3 is the sum of two zeroes

Answer 2

Given Polynomial → 3x² - 4x - 7

For finding zeroes of any polynomial, first, we need to factorize it.

For factorizing 3x² - 4x - 7, find 2 numbers such that:

• Their product is -21
• Sum is -4

The 2 numbers which satisfy the above criteria are +3 and -7

So, by splitting the middle term,

3x² - 4x - 7 = 0

⇒ 3x² + 3x - 7x - 7 = 0

⇒ 3x (x + 1) -7 (x + 1) = 0

⇒ (3x - 7) (x + 1) = 0

Zeros of the polynomial:

• 3x - 7 = 0

⇒ x = 7/3      --- α

• x + 1 = 0

⇒ x = -1         --- β

Finding Sum of Zeros:

α + β

$\implies \dfrac{7}{3}-1$

$\implies \dfrac{7-3}{3}$

$\implies \boxed{\bf{\alpha + \beta =\dfrac{4}{3}}}$