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Chapter 0: Problem 24

Find each product. $$(7 x+4)(3 x+1)$$

Short Answer

Expert verified
The product is \(21x^2 + 19x + 4\)

Step by step solution

01

Distribute the first term in the first binomial

First, distribute \(7x\) across the second binomial. This gives \(7x * 3x\) and \(7x * 1\), which simplifies to \(21x^2\) and \(7x\)
02

Distribute the second term in the first binomial

Next, distribute \(4\) across the second binomial. This gives \(4 * 3x\) and \(4 * 1\), which simplifies to \(12x\) and \(4\)
03

Combine like terms

Add all the results together, which gives \(21x^2 + 7x + 12x + 4\). Combining like terms will result in \(21x^2 + 19x + 4\).

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