Question

multiply and simplify: (2x + 7)(x - 3) = type your answer... x² + type your answer... x - type your answer...

Explanation:

Step1: Apply distributive property (FOIL)

Multiply each term in the first binomial by each term in the second binomial:
\((2x)(x) + (2x)(-3) + 7(x) + 7(-3)\)
\(= 2x^2 - 6x + 7x - 21\)

Step2: Combine like terms

Combine the \(x\)-terms: \(-6x + 7x = x\)
So the simplified form is \(2x^2 + x - 21\).

Answer:

First blank: \(2\)
Second blank: \(1\)
Third blank: \(21\)