What is the result when 3x+ 2x-15x2 + 10 is divided by x - 1? If | - there is a remainder, express the result in the form q(x) + r(x) 6(x) *

Q: 3. Factor x – 21 x – 20 completely by using synthetic division if one of the factors is (x + 4)

A: Consider the given expression as x3-21x-20 and one linear factor is x+4. Equate the linear factor to…

Q: 23 , make at least three x + 2 2. If the result of a polynomial division is 2x3 - 4x2 - 5x +…

A:

Q: 1. When the polynomial 6x -ar' + bx² +3x+4 is divided by x+1 the remainder is 10. When it's divided…

A:

Q: 2. If the result of a polynomial division is 2x – 4x? – 5x + x+2 23 ,make at least three definitive…

A: Consider the given: If the result of the polynomial division is-2x3−4x2−5x+23x+2It means , The…

Q: Is x+2 a factor of x^5+8x^4−6x^3−3x^2−7x−146

A: To prove that x+2 is factor of given equation.

Q: III. Divide by synthetic division 1. (3x3 - 17х? + 15х - 25) + (х - Б) 2. (9х3 -16х — 18х? + 32) +…

A:

Q: .When a polynomial x4+x3-10x2-1 is divided by another polynomial, the quotient is x3-3x2+2x-8 and…

A: use the relation between dividend and divisor for finding the polynomial.

Q: 2. If the result of a polynomial division is 2x³ – 4x² – 5x + 23 make at least three x + 2'…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Written as a simplified polynomial in standard form, what is the result when (2x + 4)² is subtracted…

A: Explanation of the solution is given below...

Q: 9. When the polynomial mx' – 3x² + nx +4 is divided by x - 3, the remainder is 16. When it is…

A:

Q: x*+x²+ 6x + 5- x - (-8 + 5x² + x* – x) ÷ (x – 1) 8.

A:

Q: 2. Use long division to divide P(x) 3x'+ 7x - 2x- 11 by the binomial (x-2). Express your answer in…

A:

Q: Explain how the Remainder Theorem can be used to find f(-6) if f(x) = x4 + 7x3 + 8x2 + 11x + 5. What…

A: Given that, f(x)=x4+7x3+8x2+11x+5

Q: What does it mean to have a remainder of 0? This pertains to Division with Polynomials.

A:

Q: How is the Remainder theorem and Long Division Theorem compared? What is the contrast between…

A:

Q: If the remainder on dividing the polynomial 2x* – kx +5x-3k+3 by (x + 2) is 4, then find the value…

A: Use the given information.

Q: When a polynomial x4+x3-10x2-1 is divided by another polynomial, the quotient is x3-3x2+2x-8 and the…

A: Polynomial (dividend) x4+x3-10x2-1 Remainder is 31 Polynomial (quotient) is x3 -3x2 +2x -8 To find…

Q: Find the remainder when x51 is divided by x + 4 in Z7[x].

A:

Q: 7. What is the constant term of the polynomial expression: x* – 2x + x² – 5x + 6? А. 1 8. Express:…

A: Let's find.

Q: When a polynomial x4+x3-10x2-1 is divided by another polynomial, the quotient is x3-3x2+2x-8 and the…

A: See the details solution below

Q: What is the result when 6x- 15x +4x? + 8x – 4 is divided by 3x2 – 3x – 1? If there is a remainder,…

A: Consider the equation

Q: Show that x2 − 4 is a factor of x4 − 5x3 + 2x2 + 20x − 24.

A:

Q: Find the coefficient of x11 in (x2 - 3x) / (1 - x )4

A: Solution:

Q: snip

A: Our Aim is to tell that what will be the remainder when f(x)=2x20-8x10+x-2is divided by x-1.

Q: what is the remainder in the polynomial 2x^4-5x^3+12x-7 divided by x-1

A: Perform the division:

Q: 2. If the result of a polynomial division is 2x³ – 4x² – 5x + - ,make at least three x + 2…

A: Given the result of a polynomial division f(x)=2x3-4x2-5x+23x+2. Remainder theorem: The remainder of…

Q: 11 3 - x° + 5x is divided by x + 1? What is the remainder when f(x) = - 2x4 + x' The remainder is

A: Find the reminder when

Q: Find the remainder when x^2021 is divided by x-1 in Z_7 [x]

A:

Q: 4. When the polynomial P(x) is divided by (x-2)2 the remainder is 3x - 3. What is the remainder when…

A:

Q: When we write 2x2 + 7x + 6 as (2x + 3)(x + 2), we say that we have --Select- v the trinomial-it has…

A:

Q: if the result of a polynomial division is 2x3 - 4x2 - 5x +  23/ x +2 make at least three definitivve…

A: Given that the result of a polynomial division is 2x3 - 4x2 - 5x +  23/ x +2. Here, Divisor = x +2…

Q: 13. Without dividing, determine the remainder when x + 2x² - 6x + 1 is divided by x + 2.

A:

Q: What is the result when 16x + 4x° - 14x2 - 23x - 3 is divided by 4x2 1? If there is a remainder,…

A:

Q: 2) When a polynomial, ax-3x² - bx - 5 is divided by the binomial (x-3), the remainder is 10. When…

A:

Q: When px3 3 32x 2 − 10x + r is divided by (x x 2), the remainder is exactly the same as when it is…

A:

Q: (2x+5)(x?+5x+1)

A:

Q: What is the result when 2x- 13x2 - 5x - 14 is divided by x- 7? If r(x) there is a remainder, express…

A:

Q: 8) If x = 2 is a zero, what are the other zeros for x3 – x2 - x- 2 = 0 ?

A:

Q: What is the sum of the polynomials 1 - 2x + 3x^2 and 8x^2 + 30x - 6

A: sum of the polynomials 1 - 2x + 3x^2 and 8x^2 + 30x - 6 = 1 - 2x + 3x^2 + 8x^2 + 30x - 6

Q: 4 Use synthetic division to find the quotient and remainder when x + 2x³ - 7x² + 5x + 12 is divided…

A:

Q: If the result of a polynomial division is 2x - 4x2- 5x + 23 make at least three definitive x+2…

A: Answer

Q: We can apply Eisenstein criterion for irreducibility of the polynomial 4x10−9x3+24x−18 over Q. true…

A: Using Eisenstein Criterion for irreducibility of f(x) over Q,

Q: 2. Use long division to find the quotient and remainder. x4-8x3-x2+3 x2+x Quotient: Remainder:

A:

Q: x2 - 4 is a factor of x4 - 5x3 + 2x2 + 20x - 24

A:

Q: Sum of 4x28X+3 and -2x+10x-2 -

A:

Q: 6.When a polynomial x4+x3-10x2-1 is divided by another polynomial, the quotient is x3-3x2+2x-8 and…

A:

Q: How can all real zeroes be found for 6x^3 - 24x^2 + 6x?

A: This question can be solved using the concept of finding the zeroes.

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.