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

Q: Explain how to find the degree of a polynomial.

A: To find Degree of a polynomial

Q: Find all zeros of the polynomial.

A:

Q: Describe the process of multiplying two polynomials.

A: A polynomial is defined as the expression of more than two terms separated by the sign of summation…

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: Determine if the following is a polynomial.  -3x-2

A:

Q: solve a polynomial using the zero product property 5x2-2x=0 x2+x=0

A: We have to solve polynomial using the zero product property  (1)  5x2 - 2x = 0 x (5x - 2) = 0  Then…

Q: If a fifth-degree polynomial is divided by a second-degree polynomial, the quotient is a -degree…

A: Given

Q: Form a polynomial whose zeros and degree are given

A:

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

A:

Q: Write an equation for the polynomial graphed bel 5+ 4+ 3+ 2+ 1- -5 4 -3 -2 2 3 4 5 -2+ -3 - -4+ -5+…

A: The polynomial has zeros at x= -4,-1,1, and 3, as the curve meet x-axis at x=-4,-1,1,3 Therefore,…

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

A: Degree of polynomial: the degree of individual term of polynomial is the exponent of its variable,…

Q: Describe the possible end behavior of a polynomial.

A: The end behavior of a Polynomial function is the behavior of the graph of f(x)f(x) as xx approaches…

Q: Simplify and write the resulting polynomial in standard form and indicate its degree. (18x4 - 2x3 -…

A: First we distribute the negative sign

Q: Write the polynomial z - 2r3 -1 as product of distinct poly- nomials of degree 1 and 2.

A:

Q: perform the indicated divisions of polynomials by monomials. (-35x5 - 42x3)/-7x2

A: The polynomial -35x5-42x3 & the monomial -7x2

Q: Explain why the degree of the product of two nonzero polynomials equals the sum of their degrees.

A: Let the two polynomials be of degree m & n respectively. Then, the highest power of x in the…

Q: Simplify and write the resulting polynomial in standard form and indicate its degree. (5x2 - 7x - 8)…

A: The given expression is (5x2 - 7x - 8) + (2x2 - 3x + 7) - (x2 - 4x - 3).

Q: In a polynomial, a number in front of the variable is called exponent. صواب ( خطأ

A: We have to find out

Q: A simplified polynomial that has three terms is called a/an

A: A simplified polynomial that has three terms is called a/an________

Q: Simplify and write the resulting polynomial in standard form and indicate its degree. (17x3 - 5x2 +…

A:

Q: Expand: Write as a polynomial. (2x - 3y)

A: Given,2x-3y4=2x-3y22Using,a-b2=a2+b2-2abtherefore,=2x2+3y2-22x3y2=4x2+9y2-12xy2Now,using,a+b+c2=a2+b…

Q: Explain how to find the degree of a polynomial in two variables.

A: We have to explain how to find the degree of a polynomial in two variables.

Q: Write a polynomial with zeros 0,-3, and 2 with multiplicities 2. 1, and 2, respective What is its…

A:

Q: Write the resulting polynomial in standard form and indicate its degree. (13x4 - 8x3 + 2x2) - (5x4 -…

A:

Q: Write a polynomial in standard form that has the following characteristics. leading coefficient: 3…

A: Topic  - polynomial Given: The zeros are -5, 2, 4i. To find the polynomial in a standard form that…

Q: Classify the polynomial  - 3 x^4 + 4 x^2 - 2

A: The given polynomial is,

Q: Find a polynomial that assumes these values: 1 3 -4 3. 2. 2.

A:

Q: 12. Explain how to find the degree of a polynomial

A:

Q: write a polynomial in standard form that has the given zeros: 1,-2+√7, -2-√7

A: Given problem:- write a polynomial in standard form that has the given zeros: 1,-2+√7, -2-√7

Q: The ____ term of a polynomial is the term of highest degree

A: Given: The _____ term of a polynomial is the term of highest degree

Q: Write the sum of 5x2 + 2x – 10 and 2x2 + 6 as a - polynomial in standard form.

A:

Q: A simplified polynomial that has three terms is called a/an___________.

A: A simplified polynomial that has three terms is called a/an................

Q: A simplified polynomial that has two terms is called a/an__________.

A:

Q: Express your answer as a polynomial in standard form.

A:

Q: Describe a method for choosing the degree of polynomial.

A: Hint: By understanding the concept of Polynomial regression and taking the degrees of polynomial,…

Q: Choose the rows in which the polynomial expression is accurately

A: Consider the following table

Q: Simplify and write the resulting polynomial in standard form and indicate its degree. (-6x3 + 5x2 -…

A: To simplify the polynomial. -6x3+5x2-8x+9+17x3+2x2-4x-13. Simplifying the polynomial.…

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: Write the polynomial in complete factored form f(x)= - 2x^5+19x^4-40x^3-114x^2+282x-145

A:

Q: Explain why the degree of the sum of two polynomials of different degrees equals the larger of their…

A: If two polynomials are given then their sum is calculated by adding the coefficients of the…

Q: Divide the polynomial x-x- x² + 4x- 3 by (x- 1)

A:

Q: Calculate (x5+9x4-3x3+5x+8)-:(x2+3x+1) using long division. Then write the polynomial statement.

A: To Calculate (x5+9x4-3x3+5x+8)-:(x2+3x+1) using long division

Q: Compare the domain, range, number of x-intercepts, and general shape of even-degreed polynomials and…

A: Consider the polynomial, fx=axn For the first case that n is odd, such types of the polynomials are…

Q: How do we multiply two polynomials if neither is a monomial?

A: To multiply two polynomials, we multiply each term of the first polynomial to every term of second…

Q: Suppose that a polynomial contains four terms and can be factored by grouping. Explain how to obtain…

A: Suppose that a polynomial contains four terms and can be factored by grouping. Explain how to obtain…

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: A simplified polynomial that has two terms is called a/an

A: A simplified polynomial that has two terms is called a binomial.

Q: What is a polynomial?

A: A polynomial is an expression consisting of variables and coefficients, involving the operations of…

Q: What determines the end behaviors of a polynomial and why? (Please explain)

A: What determines the end behaviors of a polynomial and why?