Problem 77 - Algebra 1: Concepts and Skills

Question

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

Step-by-Step Solution

Answer

The product of the polynomials \((x+4)\) and \((3x-7)\) is \(3x^2+5x-28\).

Step 1: First (F)

Take the first term in each binomial and multiply them together. This produces \(3x^2\).

Step 2: Outer and Inner (O and I)

Multiplying the outer and inner terms gives \(4*3 x=12x\) and \(-7x\). Add these together to obtain \(5x\).

Step 3: Last (L)

Lastly, multiply the last terms together. This results in \(-28\).

Step 4: Summarizing the product

Summing the results of each of the previous steps together, the product of the given binomials is \(3x^2+5x-28\).