Question

Find the quadratic polynomial whose sum and products of the zeros are -5 and 6

Answer 1

given,

sum of roots= -5

product of roots = 6

equation,

x²-(-5)x+6=0

x²+5x+6=0

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