Question

a=1, b=-3, c=-1, d=3,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=-3, c=-1, d=-3,

(1 * x³) + (-3 * x²) + (-1 * x) + (3)

or, x³ - 3x² - 1x + 3. (Ans)

Answer 2

Hi ,

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Standard form of a Cubic polynomial :

ax³ + bx² + cx + d , a ≠ 0

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Here ,

a = 1 , b = -3 , c = -1 , d = 3

Required Cubic polynomial is

x³ - 3x² - x + 3

I hope this helps you.

: )