Chapter 2.4, Problem 1E

Solution

Fill in the blank.

Quadratic.

Given:

The expression $8x^6+10x^3-3$ is in _____ form because it can be written as $2u^2+5u-3$ , where $u=2x^3$ .

Calculation:

The expression of the form $a{u}^2+bu+c$ is said to be quadratic form, where u is any expression in terms of x.

Here, the expression $2u^2+5u-3$ is in the form $a{u}^2+bu+c$ . Hence, it is also called a quadratic form.

Therefore, the expression $8x^6+10x^3-3$ is in quadratic form because it can be written as $2u^2+5u-3$ , where $u=2x^3$ .