Estimation is always helpful when it comes to math. By estimating, you will have a good idea with what the final answer should be before you actually get it. This way, you will hopefully be able to have a good sense of whether the answer is wrong
When a polynomial has four or more terms, the easiest way to factor it is to use <span>grouping</span>
Answer:
x = -2
x= -3
Step-by-step explanation:
x 2+5x+6=0
To solve the equation, factor x^2+5x+6 using formula x^2+(a+b)x+ab=(x+a)(x+b). To find a and b, set up a system to be solved.
a+b=5
ab=6
Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 6.
1,6
2,3
Calculate the sum for each pair.
1+6=7
2+3=5
The solution is the pair that gives sum 5.
a=2
b=3
Rewrite factored expression (x+a)(x+b) using the obtained values.
(x+2)(x+3)
To find equation solutions, solve x+2=0 and x+3=0.
x=−2
x=−3
The first step in solving this is to substitute x with 3 and y with 2, so that

becomes

Then simply solve using the order of operations.
First exponents (there are no parentheses)

Then multiply and divide

And finally add and subtract

Therefore the value <span>of 1/3 x^2 + 5.2y when x=3 and y=2 is 13.4</span>