Question

Find the quadratic polynomial,the sum and product of whose xeros are -4 and 2 respectively

Answer 1

Answer:

x^2 +4x + 2

Step-by-step explanation:

A quadratic polynomial whose sum and product of zeros are given can be written as:

x^2 -(sum of zeros)x + (product of zeros)

Thus, in your question:

Sum of zeros = -4 and

Product of zeros = 2

Therefore, the polynomial is:

x^2 -(-4)x + 2

= x^2 + 4x + 2.

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Answer 2

Quadratic polynomial :

k[x^2 - (sum if roots)x + (product if roots)]

=> k[x^2 -(-4)x + 2]

=> k(x^2 + 8x + 2)