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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.
What else can I help you with?
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
Which binomial is a factor of the polynomial below?
To determine which binomial is a factor of a given polynomial, you can apply the Factor Theorem. According to this theorem, if you substitute a value ( c ) into the polynomial and it equals zero, then ( (x - c) ) is a factor. Alternatively, you can perform polynomial long division or synthetic division with the given binomials to see if any of them divides the polynomial without a remainder. If you provide the specific polynomial and the binomials you're considering, I can assist further.
