If f(x) = 2x6 – x - 5, then what is the remainder when f (x) is divided by x - 2?

Q: Find the remainder when f(x) = x3 - 4x2 - 5 is divided by (a) x - 3 (b) x + 2

A: We have to find remainder when fx=x3-4x2-5 is divided by: a x-3  b x+2 We know from remainder…

Q: the radical is over 21-2x f(x)=√21−2x  g(x)=2x^2−14. (g∘f)(x)

A: Consider the functions and solve:

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: snip

A:

Q: Is (x+4) a factor of F(x)=2x^3+5x^2-5x+28? How do you know?

A:

Q: Find the value of f(x) = 12x6 - 8x4 + 1 at x = 4.

A: f(x) = 12x6 - 8x4 + 1 at x = 4

Q: Given the function f(x) = 2 + 6x, then what is f(x – 2) simplified as a polynomial?

A: The given function is f(x)=2+6x

Q: When dividing x^3+2x+4 by 3x+2 in Z11[x], the remainder is

A: 1)  The statement is true  Now to see  ho the given polynomial is irreducible or not

Q: Find the third degree polynomial function that has an output of 16 when x=2, and has zeros 1 and -2i

A: We have to find  a third degree polynomial function that has an output of 16 when x=2, and has zeros…

Q: What is the remainder when f(x) = - 3x17 + x9 - x5 + 2x is divided by x + 1?

A:

Q: f(x) = 4x"+9x- 7x x²-7x²-14x+2 3

A:

Q: What will be the remainder of f(x) = 3x - 2x? - 5x - 6 if it is divided by x - 2? *

A:

Q: Find the value of c that will cause the polynomial f(x) = x2 + 3x + c to have 3 as

A: f(x)=x2+3x+c

Q: Find the remainder R when f (x) = 6x3 + 3x2 + 2x - 11 is divided by g(x) = x - 1. Is g a factor of…

A:

Q: If f(x) = 5x® – 3x – 5, then what is the remainder when f (x) is divided by %3D | X - 2?

A:

Q: F(x)=4x^4-3x^3+8x-9 Divided by x-1 What is the remainder? Is x-1 a factor of the equation?

A:

Q: If f(x) is a 4th degree polynomial, and has 3 real numbers as roots, the other root is?

A:

Q: If f (x) = x - 5, then what is the remainder when f(x) is divided by x + 1?

A: We have to find the remainder when we divide f(x)=x4-5 by x+1.

Q: If f(x) = 3x⁴ - 5x³ - 2, then what is the remainder when f(x) is divided by x - 4 ?

A:

Q: Use polynomial long division to solve: x'+2x- 2x - 1 divided by (x - 1). 1. x²+3x - 1 2. x²+3x+1 3.…

A: Consider the given polynomial: Perform long division:

Q: If f(x) = 3x⁵ - 5x² + 2,then what is the remainder when f(x) is divided by x + 1

A:

Q: What is the remainder when f(x)= - 3x17 + x9 - x5 + 2x is divided by x + 1?

A: f(x)=-3x17+x9-x5+2x is divided  by x+1

Q: The value of r for which x2 - rx - 2 and x3 + x2 - x - 1 have a common factor is?

A: Given two equations x2-rx-2=0 and x3+x2-x-1=0

Q: For the remainder of the division of x-2x²+3kx+18 by x-6 to be equal to zero, k must be equal to?

A:

Q: for (x)=15x^4+10x^3-6x^2+14 show that (3) is equal to the remainder when you divide(x) by (x-3)

A:

Q: Use synthetic division to factor f(x) 3 5x – 22x + 56 given f(2) = 0 -

A: Given function When x=2 the value of f(x) is 0 2 is the zero for f(x). Use 2 for synthetic division

Q: If f(x) = 5x² - x + 5, then what is the remainder when f(x) is divided by a 2? -

A:

Q: One factor of f(x) = x^3 –8x^2 – 15x+54 is x - 2. What are the zeros of f(x)?

A: Solution of the equation

Q: FCX) =xう+ 8x-18x+470

A:

Q: Differentiate the rational function y=3x2+1x−1.

A: Given: y=3x2+1x-1 we know that ddxuv=vdudx-udvdxv2                                            ..1

Q: The radical is over 21-2x (x)=√21−2x and g(x)=2x2−14  (f∘g)(x)=

A:

Q: The total number of spaces in a parking lot is modeled by f(x)=2x2−10x, where x represents the…

A:

Q: f(x) = 6x® – 2x + 4.

A:

Q: If f (x) = 2x1 - x2 + 1, then what is the remainder when f(x) is divided %3D by x + 4?

A:

Q: The sum of f(x)=9x^2+2x+8fx=9x2+2x+8 and g(x)=7x+4gx=7x+4 is?

A:

Q: fully factor  f(x) = x3 - 4x2 - 3x + 18

A:

Q: For f(x) = 25x3 + 50x2 - 4x +10 ... how do I find all values of x for which f(x) = 18 ?

A:

Q: If a polynomial f(x) when divided by (x - a) gives a remainder r₁, and when divided by (x - b) gives…

A: Given that fx is divided by x-a, we get remainder r1, so there exist a polynomial qx such that…

Q: State the remainder when f(x) = 2x° – x³ +1 is divided by (x +1).

A:

Q: What is the remainder when f(x) = (x - 2)54 is divided by x - 1?

A: Given,

Q: Given the function f(x) = 2 + 6x, then what is f(x – 2) as a simplified polynomial?

A: The given function is: f(x)=2+6x

Q: Find all the zeros for f(x)=6x^3+294x

A:

Q: Solve for x 7.9= 10e-x(x3+2x2-3x+1)

A: Consider the given equation:…

Q: Use synthetic division to divide (5x^4 - 2x^3 + x - 4) by (x -2)

A:

Q: if the sum of the zeroes of the polynomial f(x) = 2x³ – 3kx² + 4x - 5 is 6, then the value of k is

A:

Q: What is the value of Lx2 x²?

A: From the given information in above table, we can see that  Σx2 = 19432 + 17502 + 16752 + 14662 +…

Q: if f(x) = x^5-5x^2-2 then what is the remainder when f(x) is divided by x+1?

A: Given: fx=x5-5x2-2

Q: Find the factor of polynomial  f(x) = x^2-6x+8

A: We have to find the factor of polynomial  f(x) = x2 - 6x + 8

Q: For what value of k will the function g(x)=x^4+kx^2 have a remainder of 20 when divided by the…

A:

Addition Rule of Probability

It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.

Expected Value

When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).

Probability Distributions

Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.

Basic Probability

The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.