Question

question 6 of 6
select the correct answer.
subtract the polynomials.
$(4x^2 - 3x + 8) - (2x^2 + 2x - 5)$
options:
$4x^2 - 5x + 13$
$2x^2 - x + 3$
$2x^2 - 5x + 13$
$2x^2 - 5x + 3$
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Explanation:

Step1: Distribute the negative sign

We have the expression \((4x^2 - 3x + 8)-(2x^2 + 2x - 5)\). Distribute the negative sign to the second polynomial: \(4x^2 - 3x + 8 - 2x^2 - 2x + 5\)

Step2: Combine like terms for \(x^2\) terms

Combine \(4x^2\) and \(-2x^2\): \(4x^2-2x^2 = 2x^2\)

Step3: Combine like terms for \(x\) terms

Combine \(-3x\) and \(-2x\): \(-3x-2x=-5x\)

Step4: Combine like terms for constant terms

Combine \(8\) and \(5\): \(8 + 5=13\)

Step5: Write the final polynomial

Putting it all together, we get \(2x^2-5x + 13\)

Answer:

\(2x^2 - 5x + 13\) (corresponding to the option " \(2x^2 - 5x + 13\)")