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Example: determine the zeroes of following polynomials.
P ( x)= 5x5 - 20x4+5x3 + 50x2 - 20x - 40 = 5 (x + 1)2 ( x - 2)3
Solution
In this the factoring has been done for us. Do not worries regarding factoring anything like this? You won't be asked to perform any factoring of this type anywhere in this material. There are only here to make the point that the zero factor property works here as well.
In this case we do have a product of 3 terms however the first is a constant and will not make the polynomial zero. So, from the last two terms it looks like the polynomial will be zero for x = -1 and x =2 .Thus, the zeroes of this polynomial are, x = -1 & x = 2
There are several quantities out there within the world which are governed (at least for a short time period) by the equation,
Example Solve following systems. (a) 3x - y = 7 2x + 3 y = 1 Solution Thus, it was the first system that we looked at above. Already we know th
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Show that x+3 is a factor of f(x)=3x4 - 3x3 - 36x2. Then factor f(x) completely.
3_-1 x+2 --- 1+_2 x+2
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In this section we have to take a look at the third method for solving out systems of equations. For systems of two equations it is possibly a little more complex than the methods
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In 1975, the U.S. Environmental protection agency set a standard of 50 parts per billion of lead in drinking water. In 1991, a new standard was set that safe water contains less th
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