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What is the polynomial in descending order for 12x2 plus 20x - 25?

12x2 + 20x - 25 IS a polynomial that factors into (2x + 5)(6x - 5)


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.


Express the polynomial below as a product of its factors Use the caret to enter exponents 20x3 - 15x2?

20x3-15x2=8,000-225=7,775


What is the step-by-step process of solving polynomial equations using the Ruffini method?

The Ruffini method, also known as synthetic division, is a step-by-step process for solving polynomial equations. Here is a concise explanation of the process: Write the coefficients of the polynomial equation in descending order. Identify a possible root of the polynomial equation and use synthetic division to divide the polynomial by the root. Repeat the process until the polynomial is fully factored. Use the roots obtained from the synthetic division to write the factors of the polynomial equation. Solve for the roots of the polynomial equation by setting each factor equal to zero. This method allows for the efficient solving of polynomial equations by breaking them down into simpler factors.


Are a polynomial's factors the values at which the graph of a polynomial meets the x-axis?

false


What is x2-x-30 factored as a polynomial in descending order?

You must look for two numbers with a sum of (-1), and a product of (-30). This, of course, is -6 and 5; so the factors are (x-6) (x+5).


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.


Why might it be useful to know the linear factors of a polynomial function?

It is useful to know the linear factors of a polynomial because they give you the zeros of the polynomial. If (x-c) is one of the linear factors of a polynomial, then p(c)=0. Here the notation p(x) is used to denoted a polynomial function at p(c) means the value of that function when evaluated at c. Conversely, if d is a zero of the polynomial, then (x-d) is a factor.


How do you find a degree of a graphed polynomial?

Factors


To find the factors of a polynomial from its graph follow this rule If the number is a root of a polynomial then x - b is a factor?

a


To find the factors of a polynomial from its graph follow this rule If the number is a root of a polynomial then x - a is a factor?

B


To find the factors of a polynomial from its graph follow this rule If the number is a root of a polynomial then x - c is a factor?

a