Question

simplify the following expression.
(3x + 1)(x - 4)
?x² + x +

Explanation:

Step1: Apply the distributive property (FOIL method)

Multiply the First terms: \(3x \times x = 3x^2\)
Multiply the Outer terms: \(3x \times (-4) = -12x\)
Multiply the Inner terms: \(1 \times x = x\)
Multiply the Last terms: \(1 \times (-4) = -4\)

Step2: Combine like terms

Combine the \(x\) terms: \(-12x + x = -11x\)
So the expanded form is \(3x^2 - 11x - 4\)

Answer:

The coefficient of \(x^2\) is \(3\), the coefficient of \(x\) is \(-11\), and the constant term is \(-4\). So filling in the boxes: \(3\) \(x^2 +\) \(-11\) \(x +\) \(-4\)