The square root is 3.741657387
So the square root should be 3.7
Answer:
2x(x + 3)(2x - 1)
Step-by-step explanation:
Given
4x³ + 10x² - 6x ← factor out 2x from each term
= 2x(2x² + 5x - 3) ← factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 2 × - 3 = - 6 and sum = + 5
The factors are + 6 and - 1
Use these factors to split the x- term
2x² + 6x - x - 3 ( factor the first/second and third/fourth terms )
= 2x(x + 3) - 1(x + 3) ← factor out (x + 3) from each term
= (x + 3)(2x - 1)
Thus
4x³ + 10x² - 6x = 2x(x + 3)(2x - 1) ← in factored form
Assuming the dice rolls are independent, the probability of getting doubles is
. (That is, there are 6 ways of getting doubles, and the probability of getting a given face is 1/6.)
So the event of getting doubles in a set number of
trials is binomially distributed with
(and so
).
You're given that
. If
is a random variable representing the number of doubles obtained in
trials, then the probability of getting
doubles is given by the PMF,