Write an informal explanation of the factor theorem.

Q: Write an expression in factored form for the polynomial of least possible degree graphed below. 6-…

A: x intercepts are -3,-2,1 and 3. Y intercept is (0,2) At x intercept -3,-2 and 3, the graph crosses…

Q: The degree of -2x5 is

A: The degree of a polynomial is the largest exponent on the variable.

Q: Write a polynomial that has the zeros at 3,-8,-5/2, and -1.

A: Since 3,-8,-5/2,-1 are zeros. (x-3),(x+8),(x+5/2),(x+1) has its factors Therefore,…

Q: Please give three examples of factoring polynomials.

A:

Q: Write the polynomial in factored form. P(x) = 9x3 + 9x2 − x − 1

A: Simplification

Q: A polynomial with four or more terms is called monomial binomial trinomial polynomial

A:

Q: Factor completely:       x4 - 81.

A: Given :x4-81To factorise the given equation .

Q: Based on the factor theorem what are the factors of: x3 -7x + 6

A:

Q: write the factored form of: g(x)= x4- 4x3-4x2+16x

A: Given,

Q: How do you factor a polynomial with a leading coefficient greater than one?

A: For example, Take a quadratic polynomial

Q: Explain why x - 1 is NOT a factor of the polynomial 15 -2 + 3.

A: Let, f(x) = x¹⁵ - x² + 3 By FACTOR THEOREM, if (x-1) is a factor of f(x) then, 1 is a zero of f(x)…

Q: Graph the factors (roughly) with a domain of view point that reveal all the important aspects of the…

A:

Q: State whether the following statement is true and explain why or why not: A trinomial is always a…

A: Is it true or not? A trinomial is always a higher degree than a monomial.

Q: Is the expression a polynomial?

A: Given problem is :

Q: State the Factor Theorem.

A:

Q: If a sixth-degree polynomial is divided by a third-degree polynomial, what is the degree of the…

A: We have to find the degree of the quotient polynomial If a sixth degree polynomial is divide by a…

Q: Write an expression in factored form for the polynomial of least possible degree graphed below. -2…

A: We have given with graph of polynomial function say f(x) and from this graph we have to find   the…

Q: I can’t remember how to factor polynomials.

A: Factoring polynomial depends on whether its a binomial , trinomial, or more than 3 terms. If its…

Q: Find all zeros and factor

A: Here we have to find the factored form of function. And we have to find the zeroes of function. And…

Q: F(X)= 12x +48X-96

A:

Q: We begin the process of factoring a polynomial by first factoring out the assuming that there is one…

A: Consider the given statement. Let's explain it by an example. Example. 3x2+6x Now, find the factor…

Q: What is factoring polynomials by sum or difference in two cubes? Explain with a sentence.

A: Factoring polynomials by sum or difference in two cubes

Q: How to factorise x4-x-1=0

A: Given  x4-x-1=0

Q: If a polynomial has a greatest common factor other than 1, explain how to find its GCF.

A: If a polynomial has a greatest common factor other than 1.

Q: Factor completely x2 + 16, or state that the polynomial is prime.

A:

Q: Factor completely x5 - x, or state that the polynomial is prime.

A:

Q: Factorize the polynomial:  x4+4

A: Given,

Q: Since using synthetic division, write the answer as a polynomial

A: Steps to perform while doing synthetic division: 1) To write the given problem in a division like…

Q: What is the relationship between the number of factors and the degree of the polynomial?

A: To explain: The relationship between the number of factors and degree of the polynomial. Concept…

Q: Show all work to factor x4 - 5x2 + 4 completely.

A:

Q: Factor completely y3 - 8, or state that the polynomial is prime.

A: We use the difference of the cube formula.  a3 - b3 = (a-b)(a2+ab+b2) with a=y and b=2

Q: Is x-4 a factor of 3x - 20x+30? Explain your choice.

A:

Q: The process of writing a polynomial containing the sum of monomials as a product is called

A: The process of writing a polynomial containing sums of monomials as a product is called factoring.…

Q: Explain how to determine the leading coefficient of a polynomial.

A: The leading term is the term containing the highest power of the variable, or the term with the…

Q: 1. that has been shrunk vertically by a factor of The shape of y = Preview

A: Given,

Q: Factorize the polynomial: x3+x+2x4+4x2+2

A: Given:

Q: Explain the theory, arithmetic and rationale behind the multiplier model.

A: The multiplier is the representation of  the ratio of  overall increment of real GDP to the…

Q: Explain how to factor x3 + 1.

A: To explain how to factor x3+1.

Q: Please provide 3 facts about factoring polynomials.

A:

Q: Write a polynomial that is a trinomial, with degree 5 and the constant term 7.

A: Trinomial: It has 3 terms of polynomial. Since , in the trinomial , there is degree 5 with constant…

Q: Please provide three examples of Factoring Polynomials.

A:

Q: Explain how to determine the degree of each term of a polynomial.

A: Finding degree of a term: If the term has only one variable then degree of term is the exponent of…

Q: is x4 - 1 = (x2 + 1)(x2 -1) completely factored? explain

A: Given that: x4-1=(x2+1)(x2-1)

Q: What do we call a polynomial that is not factorable? *

A: A polynomial can be sometimes factored into lower degree polynomials. Ex: x2 + 5 x + 6 = (x + 2)(x +…

Q: Factorise x6+1

A: First consider x2=y. Then,  x6+1=x23+1=y3+1               ∵x2=y Use the algebraic identity…

Q: Determine whether the statement makes sense or does not make sense, and explain your reasoning.…

A: Given: 20x3+8x2 and 20x3+10x