Find the sum of product zero of quadratic polynomial 3x square + 7 x + 4
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Answered by
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Hey mate here is your answer....
Sum of product of its zeroes = c/a
= 4/3
Hope it help you ...So, Plzz mark my ans as brainliest answer...
Answered by
1
Answer:
p(x) = 3x² - x - 4
Here,
- a = 3
- b = -1
- c = -4
Finding zeroes,
➸ p(x) = 0
➸ 3x² - x - 4 = 0
➸ 3x² - 4x + 3x - 4 = 0
➸ x (3x - 4) + 1 (3x - 4) = 0
➸ (3x - 4)(x + 1) = 0
➸ x = 4/3, -1.
Here, let us take .
- Sum of Zeroes -
➸ 4/3 + (-1)
➸ (4 + (-3))/3
➸ (4 - 3)/1
➸ 1/3
Verification -
➸ -b/a = Sum of zeroes
➸ -(-1)/3 = 1/3
➸ 1/3 = 1/3
Hence, Verified.
- Product of zeroes
➸ 4/3 * (-1)
➸ -4/3
Verification -
➸ c/a = Product of zeroes
➸ -4/3 = alpha * beta
➸ -4/3 = -4/3
Hence, Verified.
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