What is the result when x4 6x3 + 4x2 + 18x – 12 is divided by x-4? If there is a remainder, express the result in the form q(x) + r(x)

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

A: Given information: 2x3+14x2+19xx+2

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

A:

Q: 9. When the polynomial x+2x +bx+5 is divided by x+4 the remainder is 33, find the value of b.

A: We are solving the first question anfd for the next question post the question again and alsomention…

Q: If  x3 + 7x - a has a remainder of 1 when divided by x+1 then a has a value of __?

A: Please refer the attached image for complete solution.

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

A:

Q: Test the polynomial x – 2x3 + 6x – 3 for irreducibility over Q.

A: We have to check whether the polynomial x4-2x3+6x-3 is irreducible over the set of rational numbers…

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

A:

Q: Use synthetic division to find the result when 3x + 19x2 + x -21 is divided by x + 6. If there is a…

A: Polynomial is written in asked format using synthetic division.

Q: Use synthetic division to divide 4x4 – x2 – 19x +7 by x – 2. - Write just the numbers of the 3rd row…

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: The polynomial -6x + 50x+ ax+ 24 has factors x-1 and 2x + 1. Determine the value of a.

A: Suppose px be the given polynomial such that px=-6x3+50x2+ax+24 And the factors of the polynomial…

Q: How can the Factor Theorem be used to determine if x - 1 is a factor of x3 - 2x2 - 11x + 12?

A: Given: the polynomial function fx=x3-2x2-11x+12.

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: 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: 8. Verify that (x2 - 1) + is a valid result for the x4 +3x2+4 polynomial long-division calculation…

A: Given : The divide the  polynomial x 6 + 2x4 + 2x2 - 4 by the polynomial  x4 + 3x2 + 4 . Result : x2…

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: Explain how to solve x2 + 6x + 8 = 0 using factoring and the zero-product principle.

A:

Q: 3. What is the number of coefficients of a polynomial of degree n in two variables? In three…

A: Given: A polynomial of degree n.

Q: Use synthetic division to find the result when 3 - 8x2 - 10x + 21 is divided by -3. If there is a…

A:

Q: What is the coefficient of x^7 in the polynomial (1+x+2x^2)^12

A:

Q: 2. Use Synthetic Division to find the quotient and remainder: x³ – 6x² + 5x + 15 is divided by x + 1

A:

Q: What is the result when 2x + 13x° + 17x2 - 10x 1 is divided by r(x) x + 3? If there is a remainder,…

A:

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: 1. [K2] Without dividing, determine the remainder when P(x) = 10x3 – 9x2 – 8x + 11 is divided by 5x…

A: We use remainder theorem for calculating the remainder.

Q: 1. Is (x – 3) a factor of the polynomial p(x) = x' – 11x + 6? Why or why not? 2. What is the…

A:

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: The problem involve the Remainder Theorem.

A:

Q: What is the remainder when x - 5x +3x2 - s 2x +7 is divided by (x - 1)?

A:

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

A:

Q: If the result of a polynomial division is 2x3 − 4x2 − 5x + ___23­­­­____…

A: Given that, the result of a polynomial division is 2x3−4x2−5x+23x+2. From the given information, it…

Q: 4. Use what you have learned about the Remainder Theorem to show that X +1 is a factor of 19x42 +…

A: We will use the remainder theorem that states that the remainder is zero when we decide the function…

Q: What is the remainder when f(x) = x3 – 13x2 + 40x + 18 is divided by x – 7? Show your work.

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 2x³ 2x² - 9x² + 4x 7 is divided by x - 3 to give a quotient of 3x - 5 and a remainder of -22,…

A:

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

A: Answer

Q: Divide the polynomial -5x^2-2+3x+2x^4 +4x^3 by 2x-3+x^2, and check the result 2) Divide the…

A:

Q: 5. If the remainder dividing the polynomial P(x) = 2x³ + kx? + 7x +6 by x- 4 is 114, find the…

A: Quotient Remainder theorem  The answer after we divide one number by another. dividend ÷ divisor =…

Q: 15) Find the remainder of the polynomial 5x4 – 3x3 + 9x – 1 when divided by x + 3

A:

Q: If when dividing 5x3+6x4-1 by x+3x2-2, a remainder of the mx+n form is obtained, calculate the value…

A:

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

A:

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.