Explain how to divide a polynomial that is not a monomial by a monomial. Give an example.

Q: 13. Can you always use synthetic division for dividing polynomials? Explain.

A: Can you always use synthetic division for dividing polynomial??

Q: Write a polynomial that represents these tiles. Example: 5. 6. 3 2x +6 00 7.

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: Write a simplified polynomial to represent the perimeter and area of the triangle below. rimeter:…

A: Given triangle perimeter is x+5 + x2-1 +x2+3x-1 ∴ Perimeter = 2x2+4x+3 Area = 12×base×heightArea =…

Q: Please give three examples of factoring polynomials.

A:

Q: Explain how to subtract polynomials.

A: An expression is a variable, number or combination of numbers and variables and mathematical…

Q: True or False 4x-2 is a monomial of degree - 2.

A: Given- 4x-2 To check-  Whether the above expression is monomial of degree -2 or not. Concept Used-…

Q: -2x3 + 5x4 - 3x is a cubic trinomial

A: It is Bi-quadratic polynomial.

Q: Give the name (monomial, binomial, trinomial, etc.) and the degree of the polynomial. 2x - 4 Name?…

A:

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: Explain how to subtract polynomials ?

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: Use synthetic division to divide. (Simplify your answer completely.) (8x3 – 45x2 + 29x – 20) ÷ (x –…

A:

Q: Describe the first thing that you should try doing when factoring a polynomial.

A: We have to describe the first thing that we do in factoring the polynomial.

Q: Is the algebraic expression a polynomial? If it is, write the polynomial in standard form. 2x + 3x-1…

A: Inside a polynomial, we can not have a negative exponent of x.  In this expression, the second term…

Q: Graph the polynomial in the given viewing rectangle. у 3 3x5 — 5х3 + 3, [-3, 3] by [-5, 10]

A: GIVEN: y = 3x5 - 5x3 + 3, [-3, 3] by [-5, 10]

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

A: We have to find out

Q: Please complete the necessary long division. Write out the long division answer as a mixed…

A: Given,

Q: Write a polynomial in standard form that has the following characteristics. leading coefficient: -2…

A:

Q: Write a polynomial that represents the area of the square. 4c + 4d

A: Given, To find area of square

Q: The area of a rectangle is modeled by the polynomial square units. The width of the rectangle is…

A: Note that, here the area of the rectangle and the width of the rectangle is not given. So, assume…

Q: Explain how to multiply a monomial and a polynomial that is not a monomial. Give an example.

A: In order to multiply a monomial by a polynomial (that is not monomial), distribute the monomial to…

Q: Find a polynomial that represents the amount of surface on the front face of the door shown below…

A: Length of the entire door = 8xWidth of the entire door =  4x+4Area of the entire door = length *…

Q: What polynomial, when divided by 2x, yields 6x° – 5x* + 8x as a quotient? Enter your next step here

A: Topic : polynomial division

Q: The simplest type of polynomial multiplication involves a __Blank______  ____blank ______?

A: To determine the simplest type of polynomial multiplication

Q: A milk container is in the shape of a rectangular prism. The width is 16 centimeters, the depth is…

A: From the given information, it is observed that the the shape of a milk container is a rectangular…

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

A: Given divide condition -x5+1÷x+1If we dont do the long divide precidure and thinks in  our mind that…

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: Determine if the expression -r2​√7 is a polynomial or not. If it is a polynomial, state the type and…

A: Polynomial are algebraic expressions that contain unknown values. and degree is greater power of…

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: Use synthetic division to divide. (Simplify your answer completely.) x5- 13x - 120x + 79 x+3 X # -3

A: Synthetic division

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: Write an expression in factored form for the polynomial graphed below. 6+ 5+ -5 -4 -3 4. -1- -2+ -3…

A: Given query is to find the polynomial form the graph.

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: How do you divide a polynomial long division?

A:

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: 14) y2 - 21y - 100

A:

Q: Please provide 3 facts about factoring polynomials.

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: 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: A rectangular shaped house sits on a rectangular lot. The house is 58 feet by 28 feet, and the lot…

A: Given that Dimension of rectangular house is 58 feet by 28 feet. Width of a lot = (x+2) feet Length…

Q: Many people in the recording industry have been impressed by the success of Apple's iTunes Music…

A: Given:-Polynomial 0.32x2 = 0.36x + 0.21Approximate the number of song download from i tunes in…

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: Can -6x4 be expressed as a polynomial?

A: Can -6x4 be expressed as a polynomial?

Q: Divide the polynomial by the monomial denominator by writing the fraction as the sum (or difference)…

A:

Q: How do I describe the end behaviour of this polynomial> y = x3 − 4x2 + 5x − 12   Thanks

A:

Q: True or False: When you complete synthetic division, the quotient is a polynomial that is one less…

A: When you complete synthetic division, the quotient is a polynomial that is one less degree than the…