f(x) = x^2 - 9x - 10 = ( x - 10 ) ( x + 1 )
Answer : ( x - 10 ) ( x + 1 )
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I suppose you mean factoring the polynomial. You can check by multiplying the factors - the result should be the original polynomial.
A polynomial that can't be separated into smaller factors.
-2 and -6
Not quite. The polynomial's linear factors are related - not equal to - the places where the graph meets the x-axis. For example, the polynomial x2 - 5x + 6, in factored form, is (x - 2) (x - 3). In this case, +2 and +3 are "zeroes" of the polynomial, i.e., the graph crosses the x-axis. That is, in an x-y graph, y = 0.
12x2 + 20x - 25 IS a polynomial that factors into (2x + 5)(6x - 5)