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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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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.


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.


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.