Chapter A.4, Problem 40E

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

With the highest degree term being

To determine

The cubic equation

Explanation

Solving an equation is to find the value of the unknown variables in the equation, such that the obtained value or values of the unknown should satisfy the equation from which it was derived. Such a value is said to be the solution for the equation. In general a quadratic equation has two solutions for the variable in the equation as the degree of the equation is two.

**Calculation:**

Given,

Now, we shall proceed with the factorization of the quadratic expression in the left of the equation.

First look for the common factor

Terms | Prime factors |

Thus, the

The given equation become,

Since,

Divide; by 4 on both side,

Now, by the zero product property

Take;

The above equation is in the standard form of a quadratic equation.

Now, we shall proceed with the factorization of the quadratic expression in the left of the equation.

First look for the common factor

But, here the

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