how do I evaluate 2x to the 4th power + 2 x to the 3rd power + x to the 2nd power when x + 7

When x + 7 what?

To evaluate the expression 2x^4 + 2x^3 + x^2 when x = 7, follow these steps:

Step 1: Replace each occurrence of x in the expression with the value 7.
2(7)^4 + 2(7)^3 + (7)^2

Step 2: Simplify the exponentiation.
2(2401) + 2(343) + 49

Step 3: Perform the multiplication.
4802 + 686 + 49

Step 4: Add the terms together.
5537

Therefore, when x = 7, the expression 2x^4 + 2x^3 + x^2 evaluates to 5537.