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What is an expression that completely divides a given 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.
How is factoring a polynomial different from multiplying two binomials?
The same way that factoring a number is different from multiplying two factors. In general, it is much easier to multiply two factors together, than to find factors that give a certain product.
Could you factor the polynomial 3ax-15a plus x-5?
Do you mean (3ax-15a)+(x-5)?If so, then this is simply a matter of factoring by grouping, which you should have learned in pre-algebra.You should show these steps in your work:1. (3ax-15a)+(x-5)- beginning equation2. 3a(x-5)+1(x-5)- factoring it out3. (3a+1)(x-5)- rule of factoring by groupingYou should learn this method, because it is very simple and helps you a lot in factoring chapters.
What does factoring rates mean?
Factoring rates apply to the practice of businesses selling receivables at a discount to a factor, who then collects the funds. The factoring rate is the amount of the discount at which the receivable is purchased.
What is the difference between factoring and expanding expressions?
Factoring expressions involves breaking down a mathematical expression into simpler components, often to simplify calculations or solve equations. For example, factoring (x^2 - 5x + 6) yields ((x - 2)(x - 3)). In contrast, expanding expressions refers to multiplying out factors to return to a polynomial form, such as transforming ((x - 2)(x - 3)) back into (x^2 - 5x + 6). Essentially, factoring condenses an expression, while expanding elaborates it.
How do you know if you have simplified a polynomial correctly?
I suppose you mean factoring the polynomial. You can check by multiplying the factors - the result should be the original polynomial.
What is the process of writing a polynomial as a product?
Factoring
What is the need for factoring a polynomial?
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.
Is factoring 3 terms different if the polynomial has more than one variable?
Yes.
Is the factor of polynomials means to rewrite it as multiplication?
Yes. Factoring a polynomial means to separate it into smaller factors, which, when multiplied together, give you the original polynomial.
How do you solve a factoring polynomials problem if there is no greatest common factor?
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.
What is the opposite to expanding expressions?
The opposite of expanding expressions is factoring them. While expanding involves distributing and combining like terms to create a polynomial from its factors, factoring breaks down a polynomial into its constituent factors or simpler expressions. This process often reveals the roots or zeros of the polynomial. Both techniques are fundamental in algebra for manipulating and solving equations.
What is the answer to mn5-m3n by factoring polynomial?
mn(n4-m2)mn(n2+m)(n2-m)
What is the first step when factoring a polynomial consisting of four terms?
The first step in factoring a polynomial with four terms is to look for a common factor among the terms. If no common factor exists, you can try grouping the terms into two pairs and factor each pair separately. This often reveals a common binomial factor that can be factored out, simplifying the polynomial further.
What strategies is appropriate for factoring polynomials with 4 terms?
A strategy that would be appropriate in factoring polynomials with 4 terms would be by grouping where you first determine if the polynomial can be factored by a group.
How do you do a parabola?
A parabola is a graph of a 2nd degree polynomial function. Two graph a parabola, you must factor the polynomial equation and solve for the roots and the vertex. If factoring doesn't work, use the quadratic equation.
What is an expression that completely divides a given 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.
