Write the English phrase as an algebraic expression. Then, simplify the expression. Let x represent the number, The difference between the product of three and a number and two times the number.

What is the algebraic expression?

(Do not simplify.)

3x - 2x

Step-by-step explanation:

The difference - the subtraction symbol

The product of three and a number - 3 multiplied by x (basically says what's the solution to three times x)

Two times the number - 2 times x

answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.