Pre-Calculus, 9th edition
61

 PAGE: 232 SET: Exercises PROBLEM: 61

The equation is .

Consider .

Rational zeros method:

Rational Root Theorem, if a rational number in simplest form is a root of the polynomial equation , then  is a factor of and  is a factor if .

If  is a rational zero, then  is a factor of and  is a factor of .

The possible values of are  .

The possible values for are .

So, .

, is not a zero of .

Consider .

Using synthetic division:

Since , is a zero of .

is a factor of .

The depressed polynomial is .

.

Consider .

.

The real solutions of are .

.

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