The zero factor theorem is relatively simple.
If you have a a product of two (or more) terms, set to equal zero than one or more of the terms must be zero for the equation to be true.
Example 1:
ab = 0
Either a, b, or a and b must be equal to zero for this equation to be true.
i.e., (0)b = 0; a(0) = 0; (0)(0)=0;
This works with more complex equations as well.
Example 2:
(5 - a)(6 - b)=0
Either 5-a=0, 6-b=0 , or both (5-a) and (6-b) equal zero.
In higher level mathematics this can be very useful, because ex is a constant factor you encounter, but ex can never equal zero. Therefore the other term must be the term that equals zero.
i.e., ex(5-x)=0
ex != 0, therefore: 5-x=0
x=5 is the only value of x that satisfies the equation, thus keeping it true.
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In algebra, the factor theorem is a theorem linking factors and zeros of a polynomial. It is a special case of the polynomial remainder theorem.The factor theorem states that a polynomial has a factor if and only if
Yes. Every integer is a factor of zero. Zero is in fact the only number that can be divided by zero, so zero is also a factor. Zero has an infinite number of factors.
No.
Zero is only a factor of zero. If I have 0 and multiply it by any other number, I still get 0. No number can be divided by zero - the concept is meaningless.
Zero is not a factor of 4. Zero is only a factor of zero! The factors of 4 are 1, 4, 2 The factors of zero are zero and any other number. Therefore the common factors are 1,2 and 4