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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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What is the factor theorem?
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
Is every number a factor of 0?
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.
Can zero be a factor?
No.
Why is zero not a factor?
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.
What are the Common factors of 0 and 4?
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
Use the remainder theorem and the factor theorem to determine whether y-3 is a factor of y4 plus 2y2-4?
The remainder is not zero so y-3 is not a factor of y^4+2y^2-4
What is the factor theorem?
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
What does factor theorem mean?
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
What is the rational zero theorem?
If a polynomial function, written in descending order, has integer coefficients, then any rational zero must be of the form ± p/q, where p is a factor of the constant term and q is a factor of the leading coefficient.
What are the release dates for Zero Theorem - 2010 SUSPENDED?
Zero Theorem - 2010 SUSPENDED was released on: USA: 2010
What actors and actresses appeared in Zero Theorem - 2010?
The cast of Zero Theorem - 2010 includes: Billy Bob Thornton
What is the Zero Theorem?
0=0
What are the ratings and certificates for The Zero Theorem - 2013?
The Zero Theorem - 2013 is rated/received certificates of: Ireland:15A UK:15
What is the rational root theroem?
In algebra, the rational root theorem (or rational root test, rational zero theorem or rational zero test) states a constraint on rational solutions (or roots) of a polynomialequationwith integer coefficients.If a0 and an are nonzero, then each rational solution x, when written as a fraction x = p/q in lowest terms (i.e., the greatest common divisor of p and q is 1), satisfiesp is an integer factor of the constant term a0, andq is an integer factor of the leading coefficient an.The rational root theorem is a special case (for a single linear factor) of Gauss's lemmaon the factorization of polynomials. The integral root theorem is a special case of the rational root theorem if the leading coefficient an = 1.
Who invented the rational zero theorem?
Possibly Descartes
Are you able to reduce the rational zero theorem?
yes
What is the use of remainder and factor theorem in your daily life?
you
