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Chapter 0: Problem 24

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

Short Answer

Expert verified
The product of the binomials \( (7x+4)(3x+1) \) is \( 21x^2 + 19x + 4 \)

Step by step solution

01

Multiplication of First Terms

Multiply the first term of both binomials. This will give \(7x \cdot 3x = 21x^2\)
02

Multiplication of Outer Terms

Multiply the outer terms. This will give \(7x \cdot 1 = 7x\)
03

Multiplication of Inner Terms

Then, multiply the inner terms. This will give \(4 \cdot 3x = 12x\)
04

Multiplication of Last Terms

Lastly, multiply the last terms of both binomials. This will give \(4 \cdot 1 = 4\)
05

Addition of all Terms

Add all the results together. This will give \(21x^2 + 7x + 12x + 4\)
06

Combination of Like Terms

Now, combine the like terms to simplify the answer. This will give \(21x^2 + 19x + 4\).

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