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

Question

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

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Mathematics
2 years
2021-07-08T04:35:49+00:00
2021-07-08T04:35:49+00:00 2 Answers
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## Answers ( )

Answer:4/3 is the sum of two zeroes

Given Polynomial → 3x² – 4x – 7For finding zeroes of any polynomial, first, we need to factorize it.

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

productis -21Sumis -4The 2 numbers which satisfy the above criteria are

+3and-7So, 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:⇒

— αx = 7/3⇒

— βx = -1Finding Sum of Zeros:α + β