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
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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 – 7
For finding zeroes of any polynomial, first, we need to factorize it.
For factorizing 3x² – 4x – 7, find 2 numbers such that:
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:
⇒ x = 7/3 — α
⇒ x = -1 — β
Finding Sum of Zeros:
α + β