Question

5x+2 Write an expression that represents the length of the (5x+2)+(x²-9)+(x²-7x+12) Simplify the polynomial expression that represents the_______

Answer 1

To simplify the polynomial expression (5x+2) + (x²-9) + (x²-7x+12), we combine like terms to get the simplified expression 2x² - 2x + 5.

Step-by-step explanation:

The question seems to be asking for the simplification of a polynomial expression, presumably given in parts as (5x+2), (x²-9), and (x²-7x+12). To simplify the polynomial expression that represents the length, we need to combine like terms.

First, we write down the sum of the given expressions:

5x + 2 + x² - 9 + x² - 7x + 12

Next, we group the like terms:

(5x - 7x) + (x² + x²) + (2 - 9 + 12)

Simplifying each group, we get:

1. Combine the x terms: (5x - 7x) = -2x
2. Combine the x² terms: (x² + x²) = 2x²
3. Combine the constant terms: (2 - 9 + 12) = 5

Putting it all together:

2x² - 2x + 5

This is the simplified expression for the length.