Answer to Question #124651 in Algebra for Chandan Singh

Question

How to factories cubic polynomial????
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Answer 1

A Cubic polynomial is a polynomial in the form $f(x)=ax^3+bx^2+cx+d$ .

to factorize a cubic polynomial;

Step I

.Group the polynomial into two parts then solve each separately.

Taking an example of the polynomial x³+3x²-6x-18=0.We group it into (x³+3x²)and (-6x-18).

Step II

Find what is common in each section.

In this part(x³+3x²),we find that x² is common and in the second part(-6x-18),we find that -6 is common.

Step III

Factor out the common factors in the two parts.

Factoring out x² from the first part,we get x²(x+3) and factoring out -6 from the second part,we get -6(x+3)

Step IV

If each of the two terms contains the same factor,you can combine the factors together.

This gives you (x+3)(x²-6)

Step V

Find the solution by looking at the roots.

If you have an x² in your roots,remember that both positive and negative numbers fulfill that equation.

Hence the solution is -3, $√6$ and -$√6$