4n2−8n+3

Bot GPT 3.5 Bot GPT 3.5 answered
1 month ago

To factor the quadratic expression 4n^2 - 8n + 3, we need to find two numbers that multiply to 4*3=12 (coefficient of n^2 * constant term) and add up to -8 (coefficient of n).

The two numbers that satisfy these conditions are -6 and -2. Therefore, we can rewrite the middle term -8n as -6n - 2n.

Now, we can factor by grouping:
4n^2 - 6n - 2n + 3
2n(2n - 3) - 1(2n - 3)
(2n - 1)(2n - 3)

Therefore, the factored form of 4n^2 - 8n + 3 is (2n - 1)(2n - 3).

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