Question

simplify the expression by combining like terms.
0.2x² - 4.1 + 4.3x + 1.3x² - 5
select the correct choice below and, if necessary, fill in the answer box to complete your choice.
a. the polynomial can be simplified as .
(simplify your answer. use integers or decimals for any numbers in the expression.)
b. the polynomial cannot be simplified.

Explanation:

Step1: Identify like terms

The like terms for \(x^2\) are \(0.2x^2\) and \(1.3x^2\). The constant terms are \(-4.1\) and \(-5\). The term with \(x\) is \(4.3x\) (no other like term for \(x\)).

Step2: Combine \(x^2\) terms

\(0.2x^2 + 1.3x^2=(0.2 + 1.3)x^2 = 1.5x^2\)

Step3: Combine constant terms

\(-4.1-5=-9.1\)

Step4: Write the simplified expression

Combine the results from Step2 and Step3 with the \(x\) term: \(1.5x^2+4.3x - 9.1\)

Answer:

A. The polynomial can be simplified as \(1.5x^2 + 4.3x - 9.1\)