Is the number 8 odd or even?

Okay, for variable B you have the data points:
1, 2, 3, 5, 6, 6, 7, 7, 10, and 10.
What you need to do to find the mean (or average) is add all the data up and divide by how many pieces of data you had. So, the sum of all the points is 57. There are 10 points overall.
57/10 is 5.7
Your average for variable B is 5.7

8 0

3 years ago

Factor completely: x^2-x-35

joja [24]

Answer:

Step-by-step explanation:

x^2 - x - 35

This is prime

- cannot be factored

3 0

3 years ago

Simplify the polynomial (2x^3 + x^2 - 4x) - (9x^3 + - 3x^2)

iragen [17]

(2x3-4x2-3x-9)/(x-3) Final result : 2x2 + 2x + 3 Step by step solution :Step 1 :Equation at the end of step 1 : Step 2 :Equation at the end of step 2 : Step 3 : 2x3 - 4x2 - 3x - 9 Simplify —————————————————— x - 3 Checking for a perfect cube :

3.1 2x3 - 4x2 - 3x - 9 is not a perfect cube

Trying to factor by pulling out :

3.2 Factoring: 2x3 - 4x2 - 3x - 9

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: -3x - 9
Group 2: 2x3 - 4x2

Pull out from each group separately :

Group 1: (x + 3) • (-3)
Group 2: (x - 2) • (2x2)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

3.3 Find roots (zeroes) of : F(x) = 2x3 - 4x2 - 3x - 9
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient

In this case, the Leading Coefficient is 2 and the Trailing Constant is -9.

The factor(s) are:

of the Leading Coefficient : 1,2
of the Trailing Constant : 1 ,3 ,9

Let us test ....

P Q P/Q F(P/Q) Divisor -1 1 -1.00 -12.00 -1 2 -0.50 -8.75 -3 1 -3.00 -90.00 -3 2 -1.50 -20.25 -9 1 -9.00 -1764.00 -9 2 -4.50 -258.75 1 1 1.00 -14.00 1 2 0.50 -11.25 3 1 3.00 0.00 x - 3 3 2 1.50 -15.75 9 1 9.00 1098.00 9 2 4.50 78.75

The Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*x-p Note that q and p originate from P/Q reduced to its lowest terms

In our case this means that
 2x3 - 4x2 - 3x - 9 
can be divided with x - 3

Polynomial Long Division :

3.4 Polynomial Long Division
Dividing : 2x3 - 4x2 - 3x - 9
 ("Dividend")
By : x - 3 ("Divisor")

dividend 2x3 - 4x2 - 3x - 9 - divisor * 2x2 2x3 - 6x2 remainder 2x2 - 3x - 9 - divisor * 2x1 2x2 - 6x remainder 3x - 9 - divisor * 3x0 3x - 9 remainder 0

Quotient : 2x2+2x+3 Remainder: 0

Trying to factor by splitting the middle term

3.5 Factoring 2x2+2x+3

The first term is, 2x2 its coefficient is 2 .
The middle term is, +2x its coefficient is 2 .
The last term, "the constant", is +3 

Step-1 : Multiply the coefficient of the first term by the constant 2 • 3 = 6

Step-2 : Find two factors of 6 whose sum equals the coefficient of the middle term, which is 2 .

-6 + -1 = -7 -3 + -2 = -5 -2 + -3 = -5 -1 + -6 = -7 1 + 6 = 7 2 + 3 = 5 3 + 2 = 5 6 + 1 = 7

Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored

Canceling Out :

3.6 Cancel out (x-3) which appears on both sides of the fraction line.

Final result : 2x2 + 2x + 3

4 0

4 years ago

Read 2 more answers