Question

find a quadratic polynomial whose zeros are - 12 and 4 and verify the relationship between zeros and the coefficient​

Answer 1

Answer:

Step-by-step explanation:

It will help you shurely

Answer 2

The required polynomial is

$p(x) = x^2+8x-48$

Step-by-step explanation:

We are given the following in the question:

- 12 and 4 are zeroes of a quadratic polynomial.

Thus, the polynomial can be written as:

$p(x) = (x+12)(x-4)\\p(x) = x^2+8x-48$

Relation between coefficients and zeroes of polynomial:

Coefficient of x =

$-(\alpha + \beta)\\=-(-12+4)\\=8$

Constant term =

$\alpha \beta \\=-12\times 4\\=-48$

#LearnMore

Find the quadratic polynomial with which the sum of the zero is 4 and product of the zero is one

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