Question

1. write a simplified algebraic expression for the following: image with three rectangles labeled (-x^2), four rectangles labeled (+x), three squares labeled (+1) expression = enter your next step here

Explanation:

Step1: Count the number of \(-x^2\) terms

There are 3 terms of \(-x^2\), so their sum is \(3\times(-x^2)= -3x^2\)

Step2: Count the number of \(+x\) terms

There are 4 terms of \(+x\), so their sum is \(4\times(+x)= 4x\)

Step3: Count the number of \(+1\) terms

There are 3 terms of \(+1\), so their sum is \(3\times(+1)= 3\)

Step4: Combine all the terms

Add the results from Step1, Step2, and Step3 together: \(-3x^2 + 4x + 3\)

Answer:

\(-3x^2 + 4x + 3\)