Find a polynomial of degree 3 with real coeffecients and zeros of -3,-1,and 4, for which f(-2)=30

The required polynomial is

SOLUTION:

Given,

Zeroes of a polynomial with degree 3 are – 3, - 1, and 4; f( -2 ) = 30

We have to find the polynomial equation.

Now, we know that, general polynomial equation with degree is

So, let

Now, we know that,

Now, -3 is a root, so

Now, - 1 is a root, so

Now, 4 is a root, so

So, let us solve the above equations to find value of a, b, c, and d

Now, subtract (3) form (1), (2) and (4)

just needed some points but try socratic

the answer is; biodiversity resulting from few ancestors

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