Question

simplify the expression by combining like terms.
0.1x² - 3.2 + 3.7x + 1.3x² - 3

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 terms with \(x^2\) are \(0.1x^2\) and \(1.3x^2\). The constant terms are \(-3.2\) and \(-3\). The term with \(x\) is \(3.7x\) (no other like term for \(x\)).

Step2: Combine \(x^2\) terms

\(0.1x^2 + 1.3x^2=(0.1 + 1.3)x^2 = 1.4x^2\)

Step3: Combine constant terms

\(-3.2-3=-6.2\)

Step4: Write the simplified expression

Combine the results from Step 2 and Step 3 with the \(x\) term: \(1.4x^2+3.7x - 6.2\)

Answer:

A. The polynomial can be simplified as \(1.4x^2 + 3.7x - 6.2\)