The given expression is: **2b² - 18b + 40** The goal is...

February 4, 2025 at 07:18 PM

Factor Completely 2, b, squared, minus, 18, b, plus, 40 2b 2 −18b+40

The given expression is:

2b² - 18b + 40

The goal is to factor it completely.

Step-by-step explanation:

  1. Factor out common terms, if any: The coefficients (2, 18, and 40) share a greatest common factor (GCF) of 2. Factor 2 out: [ 2(b² - 9b + 20) ]

  2. Factor the quadratic (b² - 9b + 20): To factor this trinomial, look for two numbers that multiply to 20 (the constant term) and add to -9 (the coefficient of the middle term, b). These numbers are -5 and -4: [ b² - 9b + 20 = (b - 5)(b - 4) ]

  3. Combine the factors: Substitute the factored quadratic back into the expression: [ 2(b - 5)(b - 4) ]

Final Answer:

The completely factored form of the expression 2b² - 18b + 40 is: [ 2(b - 5)(b - 4) ]

What does this code do?

This code represents factoring a quadratic expression, which is a common algebraic operation to simplify or rewrite the expression in its product form.

Generate your own explanations
Download our vscode extension
Read other generated explanations

Built by @thebuilderjr
Sponsored by beam analytics
Read our terms and privacy policy
Forked from openai-quickstart-node