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Mathematics
Cordell Sheppard
11 July, 22:25
5. Simplify (15x2 - 24x + 9) : (3x - 3) = ?
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Allyson Meadows
12 July, 01:07
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The likelihood is that because we've been told to divide the quadratic by a linear expression, it may perfectly factorize and the linear expression is, in fact, one of the two factors so we can use it to find the other factor by inspection:
3x would have to multiply by 5x to get the 15x² term in the quadratic.
-3 would have to multiply by - 3 to get the 9 term in the quadratic.
The second factor would, therefore, be (5x - 3) if the linear divisor is actually a factor. In this case, it is, which we can confirm by expanding.
15x² - 24x + 9 = (3x - 3) (5x - 3)
So:
(15x2 - 24x + 9) : (3x - 3) = 5x - 3
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