Question

(3x² - 7x) + (5x² + 13)
the given expression can be written as ax² + bx + c, where a, b, and c are constants. what is the value of a?
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Explanation:

Step1: Combine like terms

First, we look at the terms with \(x^3\). In the expression \((3x^3 - 7x)+(5x^3 + 13)\), the \(x^3\) terms are \(3x^3\) and \(5x^3\). We add their coefficients: \(3 + 5 = 8\). The other terms are \(-7x\) (the \(x\) term) and \(13\) (the constant term). So the simplified expression is \(8x^3-7x + 13\).

Step2: Identify the coefficient \(a\)

In the form \(ax^3+bx + c\), the coefficient of \(x^3\) is \(a\). From the simplified expression \(8x^3-7x + 13\), we can see that \(a = 8\).

Answer:

\(8\)