Question

Find the quadratic polynomial the sum of whose zeros is-5 and their product is 6 hence find the zero of the polynomial

Answer 1

Answer:

Quadratic polynomial=

$x {}^{2} - (m + n )x +mn$

$x {}^{2} - ( - 5)x + 6$

$x {}^{2} +5x + 6$

This is the quadratic polynomial.

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