Factor completely.2, x, squared, minus, 11, x, plus, 92x 2 −11x+9
Question
Factor completely.2, x, squared, minus, 11, x, plus, 92x 2 −11x+9
Solution
The expression you provided is 2x^2 - 11x + 9. To factor this completely, we need to find two numbers that multiply to (2*9)=18 and add up to -11. Those numbers are -2 and -9.
So, we can rewrite the middle term of the expression as -2x - 9x:
2x^2 - 2x - 9x + 9
Now, we can factor by grouping:
2x(x - 1) - 9(x - 1)
Finally, we can factor out the common binomial term (x - 1):
(2x - 9)(x - 1)
So, the expression 2x^2 - 11x + 9 factors completely to (2x - 9)(x - 1).
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