Question

Find a quadratic polynomial , the sum and product of whose zeroes are 5 and 6 resspectively.

Answer 1

x^2-5x+6 is equal to (x-2)(x-3) whose zeroes are 2 and 3, and 2+3=5 and 2*3=6. You could also use vietas to get the same answer.

Answer 2

Given :

• Sum of zeros = 5

• Product of zeros = 6

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To Find :

• Quadratic Polynomial

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Solution :

⇒k[x² - (sum of zeros)x + Product]

⇒k[x² - (5)x + 6]

⇒k[x² - 5x + 6]

⇒x² - 5x + 6

➜ Quadratic polynomial is x² -5x + 6