Question

(x^2-3x+4)(x+1)(x-2)>=0?

Answer 1

Step 1:

The inequality is .

Find the values of for .

Find the values of for .

Solutions of for quadratic equation is .

The solutions of are imaginary, so we do not consider it.

Step 2:

Case I)

If both the factors are positive.

The statement is true for .

Case II)

If both the factors are negative.

The statement is true for .

 for all values of and .

Solutions of is all values of for and .

Solution:

Solutions of is all values of for and .