Question

The quadratics polynomial, the sum and product of whose zeroes are 4 and -2 is (pls give explanation)

Answer 1

Given:-

• Sum of Zeros = 4
• Product of Zeros = -2

To Find:-

• Quadratic Polynomial ?

Solution:-

As it is given that the sum of zeros & product of zeros . We have to calculate the quadratic polynomial .

☯ Quadratic Polynomial = x²-(sum of zeros)x + product of zeros

substitute the value we get

$\longrightarrow$ Quadratic Polynomial =x²-(4)x + (-2)

$\longrightarrow$ Quadratic Polynomial = x² -4x -2

• Hence, the required quadratic polynomial is x²-4x-2.

Answer 2

Answer:

x²-4x-2

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Step-by-step explanation:

sum of the zeroes(alpha+beta)= 4

product of the zeroes(alpha×beta)= -2

general form of a quadratic polynomial

=k[x²-(alpha+beta)x+(alpha×beta)]

=k[x²-4x-2]

let k=1

therefore, the quadratic polynomial is x²-4x-2