Answer:
Given the equation: 
A quadratic equation is in the form: 
where a, b ,c are the coefficient and a≠0 then the solution is given by :
......[1]
On comparing with given equation we get;
a =3 , b = 10
then, substitute these in equation [1] to solve for c;
Simplify:
Also, it is given that the difference of two roots of the given equation is 
i.e,
Here,
, ......[2]
.....[3]
then;
simplify:
or
Squaring both sides we get;
Subtract 100 from both sides, we get
Simplify:
-12c = -96
Divide both sides by -12 we get;
c = 8
Substitute the value of c in equation [2] and [3]; to solve 
or
or
Simplify:
Now, to solve for 
;
or
or
Simplify:
therefore, the solution for the given equation is: 
and -2.
We can tell if this is a factor of the polynomial shown by using the remainder theorem.
First, we need to set x + 1 equal to 0.
x + 1 = 0
Now, we solve for x.
x = -1
Now, we can plug this value into the polynomial, and if the solution is 0, it means there is a remainder of 0, which means they divide perfectly.
(-1)^3 - 10(-1)^2 + 27(-1) - 12 = -50
x + 1 is not a factor of the provided polynomial.
Answer:
4.) 12ft
Step-by-step explanation:
You solve the area of a square using the following equation:
Area of a square = <em>s</em>²
Plug in 144 for Area of a square:
144 = s²
Isolate the variable, s. Root both sides of the equation.
√144 = √s²
s = √144 = √(12 * 12) = 12
4.) 12ft is your answer.
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Answer:
Step-by-step explanation:
1. 10xy · 4xy^3 = 
2. 10xy · -7xy = 
3. 10xy · 9y^2 = 
Final step: add up all of those values together to make an equation!
Answer: 
Final Answer: 
