Question

18. A quadratic polynomial, the product and sum of whose zeroes are 5 and 8 respectively is (a) k [x2 – 8x + 5] (b). k [xc2 + 8x + 5] (c) k[x2 – 5x + 8] (d) k [x2 + 5x + 8]​

Answer 1

Answer:

ans is k(x²+8x+5)

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Answer 2

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

Given:

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

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 = 8  and  Product of zeroes = 5

k(x² - 8x + 5)

Correct option is  (a) k [x2 – 8x + 5]

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

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