Q: What does factor out a polynomial mean?

Write your answer...

Submit

Still have questions?

Continue Learning about Other Math

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

false - apex

TRue

a

The given polynomial does not have factors with rational coefficients.

Related questions

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

If there is no common factor then the polynomial cannot be factorised. If there is no common factor then the polynomial cannot be factorised. If there is no common factor then the polynomial cannot be factorised. If there is no common factor then the polynomial cannot be factorised.

Factor the polynomial x2 - 10x + 25. Enter each factor as a polynomial in descending order.

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

Start by looking for a common factor. Separate this factor, then factor the remaining polynomial.

An expression that completely divides a given polynomial without leaving a remainder is called a factor of the polynomial. This means that when the polynomial is divided by the factor, the result is another polynomial with no remainder. Factors of a polynomial can be found by using methods such as long division, synthetic division, or factoring techniques like grouping, GCF (greatest common factor), or special patterns.

Do you mean why do why do we factor a polynomial? If so, one reason is to solve equations. Another is to reduce radical expressions by cancelling out factors in the numerator and denominator.

Since no polynomial was given, no answer will be given.

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

(x-2)(x-3)

(x-3)(x+8)

(3x + 4)(3x + 4)