Question
factor
2 w squared minus 11 w equals negative 12
2 w squared minus 11 w equals negative 12
Answers
GPT 3.5
To factor the quadratic equation 2w^2 - 11w + 12 = 0, we can first find two numbers that multiply to 2*12=24 and add up to -11.
The two numbers are -8 and -3.
So, we rewrite the middle term using these two numbers:
2w^2 - 8w - 3w + 12 = 0
Now, factor by grouping:
2w(w - 4) - 3(w - 4) = 0
(w-4)(2w-3) = 0
Therefore, the factored form of the equation is:
(w - 4)(2w - 3) = 0
The two numbers are -8 and -3.
So, we rewrite the middle term using these two numbers:
2w^2 - 8w - 3w + 12 = 0
Now, factor by grouping:
2w(w - 4) - 3(w - 4) = 0
(w-4)(2w-3) = 0
Therefore, the factored form of the equation is:
(w - 4)(2w - 3) = 0