What is the question asking
Answer:
Step-by-step explanation:
We group the number 5:
5(x² + 3x + 2.25)
Now inside the brackets we'll take the square root of the coefficient of the x and the square root of the last number, then remove the square from the x and write it as a sum:
5(x+1.5)²
What's the idea behind this?
Well, remember that when you have something in the form:
(a+b)²
It actually means:
a² + 2ab + b²
In our case a was x, and b was 2.25. For bringing it into the shorter form we have to take the square root of a and b.
Sorry if you don't understand. Tell me if you need help to get the xoncept better.
Answer:
P(2)=0 then x-2 is a factor of P(x)
Step-by-step explanation:
To see if (x-2) is a factor just plug in 2 for x into the polynomial expression.
2(2)^3-3(2)^2-17(2)+30
2(8)-3(4)-34+30
16-12-34+30
4-34+30
-30+30
0
Since P(2)=0 then x-2 is a factor
Answer:
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Step-by-step explanation:
Answer:
n=0
Step-by-step explanation:
simplifying
6 = 1 + -8n + 5
Reorder the terms:
6 = 1 + 5 + -8n
Combine like terms: 1 + 5 = 6
6 = 6 + -8n
Add '-6' to each side of the equation.
6 + -6 = 6 + -6 + -8n
Combine like terms: 6 + -6 = 0
0 = 6 + -6 + -8n
Combine like terms: 6 + -6 = 0
0 = 0 + -8n
0 = -8n
Solving
0 = -8n
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '8n' to each side of the equation.
0 + 8n = -8n + 8n
Remove the zero:
8n = -8n + 8n
Combine like terms: -8n + 8n = 0
8n = 0
Divide each side by '8'.
n = 0
Simplifying
n = 0
