4. Use what you have learned about the Remainder Theorem to show that X +1 is a factor of 19x42 + 18x -1.

Q: What is the result when 2x3 + 14x² + 19x is divided by x + 2? If r(x) there is a remainder, express…

A:

Q: Use the long division method to find the result when 6x + 19x? + 17x + 3 is divided by 2x + 3.

A:

Q: What is the result when 4x - 11a - 24x2 + 19x – 12 is divided by T(x) 4? If there is a remainder,…

A:

Q: Use the Remainder Theorem to find the remainder. (3x3 + 4x2 – 8x + 2) ÷ (x – 3)

A: Given (3x3 + 4x2 – 8x + 2) ÷ (x – 3) Now we have to find remainder by using remainder theorem

Q: Use the long division method to find the result when 4x³ – 26x² + 13x – 6 is r(x) divided by x – 6.…

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: What is the result when x4 6x3 + 4x2 + 18x – 12 is divided by x-4? If there is a remainder, express…

A: We will use long division method to find the answer

Q: Use the Remainder Theorem to completely factor p(x) = x3 - 6x2 + 11x - 6.   please explain this…

A: Given: px=x3-6x2+11x-6 For doing factors of given expression, we first use hint and trial method So,…

Q: What is the result when 3x + 21x³ + 26x2 + 4x - 7 is divided by x2 + 5x 3? If there is a remainder,…

A:

Q: What is the degree of the polynomial 3x4-5x3+7x2-2x+8?

A: Degree of polynomial: The highest or the largest power of the variable denotes degree of variable…

Q: What is the result when 3x + 10x2 - x-9 is divided by a + 1? If there is a r(x) remainder, express…

A: Let fx=3x3+10x2-x-9 and gx=x+1 To divide fx by gx, we first rearrange the terms of fx as follows:…

Q: Explain how the Remainder Theorem can be used to find fl-6) if f(x) = x* + 7x + &r? + 11x + 5. What…

A: The remainder theorem states that when a polynomial f(x) is divided by a linear polynomial  x-a, the…

Q: Use the long division method to find the result when 3x³ + 10x² – 3x – 13 is divided by 3x+ 10. If…

A:

Q: 1. use the remainder theorem to find the reminder of the following divisions and then check your…

A: Given: (a). ( 4x3 - x2 + 2x +1)  divided by ( x-5) If a polynomial P(x) is divided by the binomial…

Q: Use the Remainder Theorem to show that X+1 is a factor of 19x42 + 18x -1.

A: we have to divide the equation 19x42 + 18x -1 by x+1 by remainder theorem so, for that we will first…

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: Find the quotient and remainder using synthetic division for: x3+6x2+16x+18 over x+2

A:

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

A:

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

A: We have to find result when 2x3-13x2-5x-14 is divided by x-7

Q: 4. Use long division to determine whether or not x+2 is a factor of:

A:

Q: Find the quotient and remainder using long division.

A: Given polynomial                            2x5 - 7x4 - 134x2 - 6x + 8

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

A:

Q: 3. Use polynomial division to show that the general expression for the factors of the difference of…

A:

Q: 9. Use the Factor Theorem to explain if x + 3 is a factor of x³ + 2x² – 3x + 5.

A: To use the factor theorem to explain if x+3 is a factor of x^3+2x^2-3x+5

Q: 3) Use synthetic division to determine if the given polynomial is a factor of 6x3 – 13x? – 73x – 60.…

A:

Q: find the quotient and remainder 3x^3-12x^2-9x+2 over x+3

A: Given query is to find quotient and remaineder using synthetic division.

Q: Find the remainder when: 3x3-2x2-4x+1 is divided by (x-2); and (x +3) When 3x -2x-4x + 1 is divided…

A: remainder is (9) remainder is (- 86)

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

A:

Q: Use the long division method to find the result when 12x4 + 25x³ + 19x² + 9x + 10 is divided by 3æ²…

A:

Q: 29. Determine BER with the property that x+5 is a factor of the polynomial -3x- 10x + 20x2- 22x + B.

A:

Q: Compute the quotient and the remainder of (3x – 8x² – 36x + 5) ÷ (x – 5)

A:

Q: What is the result when 2x4 - 6x³ - 13x2 + 13x + 1 is divided by 2x 9? If there is a remainder,…

A:

Q: What is the remainder when f(x)=x3−22x2−16x−161 is divided by (x−37)

A:

Q: find the remainder when the polynomial x^4 - 6x^3 + 4x^2 + 5x +3 is divided by (x + 1)

A:

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

A: The given result of a polynomial division is 2x3-4x2-5x+23x+2. Observe the following. Quotient,…

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

A: Answer

Q: Use synthetic division to find all the factors of x + 6x – 9x – 54 if one of the factors is x - 3.

A:

Q: Use the Remainder Theorem to find the remainder when x + 9x2 + 4 is divided by x - 1.

A:

Q: What is the remainder when  x3 +x2 -x -1 is divided by x+1 ?

A:

Q: what is the remainder when g(x)=x^{3}-3x^{2}+4x-12 is divided by (x-1)/

A:

Q: Use synthetic division to find the result when x + 2x2-11a + 24 is divided by x +5. If there is a…

A:

Q: 2. Add one term to the polynomial expression 14x19 9x15 +11x* + 5x² + 3 to make it into a + 11x+ 5x?…

A: Consider the polynomial  14x19-9x15+11x4+5x2+3

Q: Use synthetic division and the Remainder Theorem to evaluate P(c). P(x) = 3x + 14x - 2x + 8, c = 5…

A: Given, P(x)= 3x³+14x²-2x+8 c= 5 We know that, Remainder Theorem states that, P(c)= P(x)/(x-c)

Q: Find the remainder when the polynomial 2x* – 5x² + 12x – 7 is divided by (x – 1).

A:

Q: What is the remainder when P(x) = x019 - 7x2020 +6 is divided by x- 1? 12 10 -12

A:

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.