Question

a quadratic polynomial whose zeros are -4 and -5​

Answer 1

Answer:

Let the quadratic polynomial be ax2 + bx + c, and its zeroes be α and β. Then

α = 1 and β = - 3

∴ Sum of the zeroes (α + β) = 1 + (– 3) = – 2 and, product of zeroes (a+ p) = 1 x (–3) = –3

Hence, the quadratic polynomial

= x2 – (α + β) x + αβ

= x2 – (– 2)x + (– 3)

= x2 + 2x – 3

Now, sum of the zeroes

equals 1 plus left parenthesis negative 3 right parenthesis equals fraction numerator negative 2 over denominator 1 end fraction equals fraction numerator Coefficient space of space straight x over denominator Coefficient space of space straight x squared end fraction

and product of the zeroes equals 1 cross times left parenthesis negative 3 right parenthesis fraction numerator negative 3 over denominator 1 end fraction

equals fraction numerator Constant space term over denominator Coefficient space of space straight x squared end fraction

Step-by-step explanation:

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Answer 2

Answer:

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