Evaluate 2x^4 + 2x^3 + x^2 when x = 7.


Evaluate {eq}\, 2x^4 + 2x^3 + x^2 \, {/eq} when {eq}\, x = 7 {/eq}.

Evaluating Expressions

Evaluating algebraic expressions when a specific value is given means finding out the value of the expression when the unknown variable in it takes the specified value. This is relatively simple process as we only have to replace the unknown variable with the value given.

Answer and Explanation:

To evaluate the expression when x=7, we need to substitute the value of x with 7 in it and then calculate it. Substituting the value of x with 7 means writing 7 instead of x in the expression. This is show below.

$$\begin{align} &2x^4 + 2x^3 + x^2\\ &\text{When x=7,}\\ \Rightarrow &2*7^4+2*7^3+7^2\\ =&4802+686+49\\ =&5537 \end{align} $$

Learn more about this topic:

Evaluating Simple Algebraic Expressions

from ELM: CSU Math Study Guide

Chapter 6 / Lesson 3

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