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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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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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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


When do you use factor theorem in real life?

when simplifying fractions


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 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 is norton's theorem?

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


How do you solve a remainder theorem?

You cannot solve a theorem: you can prove the theorem or you can solve a question based on the remainder theorem.


What is the definition of theorem in geometry?

theorem

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