Question

Find the product. $$(x+4)(3 x-7)$$

Short answer

So the product \((x+4)(3x-7)\) equals to \(3x^2 + 5x - 28\)

Step-by-step solution

Distribution of terms

Write the expression as \((x+4)(3x-7)\). Now, distribute each term of the first polynomial with each term of the second polynomial. Thus, we have four separate multiplication operations: \(x * 3x\), \(x * -7\), \(4 * 3x\), \(4 * -7\)

Evaluate multiplication operations

Multiply each pair of terms to get: \(3x^2\), \(-7x\), \(12x\), \(-28\)

Combine like terms

Combine the middle two terms which are like terms to simplify the expression: \(3x^2 + 5x - 28\)