The number π (pi) is a mathematical constant which is equal to the ratio of a circle's circumference to its diameter. It has a value of π = 22/7
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
The number π (pi) is a mathematical constant which is equal to the ratio of a circle's circumference to its diameter. It is given by:
π = 22/7
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His answer was (x- +2) (x^2-9)
a) His mistake was he has x^2 in one of the parenthesis, to be fully factored you cannot have an exponent as part of the answer.
b) x^3 - 9x + 2x^2 -18
Reorder the terms:
x^3 +2x^2 -9x -18
Group the first two terms and the last two terms
(x^3 + 2x^2) -9x-18
Factor out the greatest common factor from each group:
x^2(x+2) - 9(x+2)
Factor the polynomial by factoring out the common factor once x+2:
(x+2) (x^2-9)
Rewrite 9 as 3^2:
(x+2) (x^2-3^2)
Factor one last time:
(x+2) (x+3) (x-3)
Answer:
(x-8) (x-4)
Step-by-step explanation:
x^2 -12x +32
What two numbers multiply to 32 and add to -12
-8*-4 = 32
-8-4 = -12
(x-8) (x-4)
B. Communitive property of addition