<h3>
Answer: (x+1)(x+3)</h3>
===================================================
Explanation:
Let's assume it factors into (x+a)(x+b)
The goal is to find the two numbers a and b.
FOIL out (x+a)(x+b) to get x^2+(a+b)x+ab
Note how a+b is the middle term and ab is the last term.
In the original expression, 4 is the middle term and 3 is the last term.
So we need to find two numbers that
There are two ways to multiply to 3 and they are
- 1 times 3 = 3
- -1 times -3 = -3
But only the first way has the factors add to 4. So that means a = 1 and b = 3.
Therefore (x+a)(x+b) = (x+1)(x+3)
And x^2+4x+3 = (x+1)(x+3)
Answer:
c) The given expression represents Addition Property of Equality.
Step-by-step explanation:
Here, the given expression is j = k
Now by ADDITION PROPERTY OF EQUALITY:
The property that states that if you add the same number to both sides of an equation, the sides remain equal.
So, <u> if A = B ⇒ A + </u><u>x </u><u> = B + </u><u>x</u>
<u></u>
Now, here given that j = k
If we add the same number 9 on both the sides, the equation remains undisturbed.
⇒ j + 9 = k + 9
Hence, the above expression represents Addition Property of Equality.
the equivalent expression is C
Answer:
21
Step-by-step explanation:
The question is based in pigeonhole principle that says If n or more pigeons are distributed among k >0 pigeonholes,then at least one pigeonhole contains at least 
pigeons.
8 + 6 + 9−3 + 1 = 21
