Question

a=1, b=-1, c=-1, d=1,Obtain the quadratic or the cubic polynomial as the case may be in the standard form with the given coefficient.

Answer 1

A cubic polynomial is a polynomial of degree 3. The solutions of this equation are called roots of the polynomial f(x).

Now the general form of a cubic polynomial is ax³ + bx² + cx + d

Now all we have to do is put the values of all three coefficients and one constant.

The values given are as follows: a=1, b=-1, c=-1, d=1

(1 * x³) + (-1 * x²) + (-1 * x) + (1)

or, x³ - x² - x + 1. (Ans)

Answer 2

Hi ,

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A Cubic Polynomial in x with real

coefficients is of the form

ax⁴ + bx³ + cx² + d ,

Where ,

a , b , c , d are real numbers with a ≠ 0

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Here ,

a = 1 , b = -1 , c = -1 , d = 1

Therefore ,

Required Cubic polynomial is

x³ - x² - x + 1

I hope this helps you.

: )