Math, asked by farhanmohammad4152, 8 months ago

Find the sum of product zero of quadratic polynomial 3x square + 7 x + 4

Answers

Answered by mrunali32
0

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 Nereida
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 \tt{\alpha = \dfrac{4}{3}\:and\:\beta = -1}.

  • 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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