Question

write a quadratic polynomial whose sum and product of zeros is -5 and 8 respectively



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Answer 1

Answer:

quadratic polynomial = x² + 5x + 8 = 0

Explanation:

sum of zeroes = -5

product of zeroes = 8

quadratic equation = x² - (sum of zeroes)x + product of zeroes = 0

x² - (-5)x + 8 = 0

x² + 5x + 8 = 0

Answer 2

k [x2 + 5x + 8]  is a quadratic polynomial where the sum and product of whose zeroes are -5 and 8 respectively

Given:

• A quadratic polynomial
• Product of zeroes  is 8
• Sum of Zeroes is -5

To Find:

• Quadratic polynomial

Solution:

Step 1:

A quadratic polynomial is given by:

k(x² - (sum of zeroes)x + Product of zeroes)

where k ∈ R , k ≠ 0

Step 2:

Substitute sum of zeroes = -5  and  Product of zeroes = 8

k(x² - (-5)x + 8)

= k(x²+ 5x + 8)

k [x2 + 5x + 8]  is a quadratic polynomial where the sum and product of whose zeroes are -5 and 8 respectively

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