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lesya692 [45]
2 years ago
6

Find a quadratic polynomial each with the given number as the sum and product of its zeros respectively

Mathematics
2 answers:
Pavlova-9 [17]2 years ago
8 0

Answer:

The answer is 4x² – x – 4 = 0

Step-by-step explanation:

<h2>1st Method </h2><h3><u>Given</u>;</h3>
  • Sum of zeroes = α + β = (-b)/a = 1/4
  • Product of zeros = αβ = c/a = 1

Where,

  • a = 4
  • b = 1
  • c = 4

So, one quadratic polynomial satisfying is given condition is 4x² – x – 4 = 0

<h2>2nd Method</h2>

Sum of zeroes = 1/4

Product of zeros = 1

Remember this formula

x² – (α + β)x + αβ

x² – 1/4x + 1

4x² – x – 4 = 0

Thus, The quadratic polynomial is

4x² – x – 4 = 0.

NARA [144]2 years ago
5 0

Step-by-step explanation:

sum of zeroes = 1/4

product of its zeros = 1

so,

4x^2- x - 4

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