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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

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Q: What is the factor theorem?
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Related questions

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 use of remainder and factor theorem in your daily life?

you


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


When do you use factor theorem in real life?

when simplifying fractions


What is factor theorem?

x-a is a factor of the polynomial p(x),if p(a)=0.also,if x-a is a factor of p(x), p(a)=0.


What is the polynomial factor theorem?

Suppose p(x) is a polynomial in x. Then p(a) = 0 if and only if (x-a) is a factor of p(x).


Why are kids inhaling cinnamon?

Never forget to factor in the "kids are stupid" theorem when trying to figure out why kids do anything.


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.


Write How the Factor Theorem can be used to determine whether x plus 1 is a factor of x3-2x2-8x-5?

we can use direct substitution. do this we must take the opposite of the constant in the factor that we want to test. -1*(1)=-1 now we simply take f(-1). =-1^3-(-2)^2-8(-1)-5 =-1-4+8-5 =-2 since we got -2 in the end (x+1) is not a factor of this polynomial. According to factor theorem it can only be a factor is the remainder is 0


What are the followings-the exponential form for complex numbers-factor theorem-factorization of determinants-common factor-real quadratic of common factors?

Many of these have already been answered. Please search for them or ask them individually.


What is a prime factor form?

The fundamental theorem of arithmetic says any integer can be factored into a unique product of primes. The is the prime factored form.


What is norton's theorem?

Norton's theorem is the current equivalent of Thevenin's theorem.