Question

adding & subtracting polynomials practice
complete this assessment to review what youve learned. it will not count toward your gra
simplify (left(\frac{1}{4}x^2 - 3x + 2.25
ight) + left(0.75x^2 + 2x - \frac{1}{4}
ight)). (1 point)
the sum of the polynomials is (square).
check answer remaining attempts : 3

Explanation:

Step1: Combine like terms for \(x^2\)

\(\frac{1}{4}x^2 + 0.75x^2\)
Since \(\frac{1}{4}=0.25\), so \(0.25x^2 + 0.75x^2 = (0.25 + 0.75)x^2 = 1x^2=x^2\)

Step2: Combine like terms for \(x\)

\(-3x + 2x=(-3 + 2)x=-x\)

Step3: Combine like terms for constants

\(2.25-\frac{1}{4}\)
Since \(\frac{1}{4} = 0.25\), so \(2.25-0.25 = 2\)

Step4: Combine all results

Putting it all together, we get \(x^2 - x + 2\)

Answer:

\(x^2 - x + 2\)