Question

what is the equivalent standard form of the quadratic expression (x + 3)(x - 5)?
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Explanation:

Step1: Expand the product

We have the quadratic expression \((x + 3)(x - 5)\). Using the distributive property (FOIL method):
First: \(x\times x = x^{2}\)
Outer: \(x\times(-5)=-5x\)
Inner: \(3\times x = 3x\)
Last: \(3\times(-5)=-15\)

Step2: Combine like terms

Now, combine the middle terms:
\(x^{2}-5x + 3x-15=x^{2}+(-5 + 3)x-15\)
\(x^{2}-2x-15\)

Answer:

\(x^{2}-2x - 15\)