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Questions Applied Mathematics
Consider the two univariate polynomials p(x) = x^3 − 12x^2 + 41x − 42; and q(x) = x^2 − 2x − 35
Consider the two univariate polynomials p(x) = x^3 − 12x^2 + 41x − 42; and q(x) = x^2 − 2x − 35
If the two polynomials share a common root, use the ratio method to find that root.
lambodar
3 years ago
Applied Mathematics
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Lets Take q(x) = x^2 -2x -35.
To find its root we equate it with zero
x^2 - 2x - 35 = 0
Factorizing;
x^2 - 7x + 5x - 35 = 0
x(x - 7) + 5(x - 7) = 0
(x-7)(x+5) = 0
x = 7
or x = -5
kyran
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p(7) = q(7) = 0;
x-7
is the root
virtualplayer
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