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How would you factor 8x2 - xy - 7y2 The 2 after the x and y are the squares. so its 8x squared - xy - 7y squared.?
Silverneo188
You can factor this multivariate polynomial (a polynomial with several variables, here x and y), by looking at it as a univariate polynomial in either x or y.
This would give you a simple second order equation of the form ax2+bx+c, which you can solve. This will give you 2 solutions, say x1 and x2, and can then factor your polynomial to a(x-x1)(x-x2).
In our case:
a=8, b=-y and c=-7y2
and the solutions for this equation are x1=y and x2=-7/8*y
and this gives us
8x2 - xy -7y2 = 8(x-y)(x+7/8y) = (x-y)(8x+7y)
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