Question

x2 - 10x + 9

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Answer 1

To factorize the quadratic expression x^2 - 10x + 9, we need to find two numbers that multiply to give 9, and add up to -10 (the coefficient of 'x').

The two numbers that satisfy these conditions are -1 and -9.

So, we can rewrite the expression as:

x^2 - x - 9x + 9

Now, we can factorize by grouping:

x(x - 1) - 9(x - 1)

Notice that we have a common factor of (x - 1) in both terms. We can factor that out:

(x - 1)(x - 9)

Therefore, the factored form of the expression is (x - 1)(x - 9).