First, factor out a 3.
3(x² - 9)
In any quadratic ax² + bx + c, we can split the bx term up into two new terms which we want to equal the product of a and c.
In this case, we have x² + 0x - 9. (the 0x is a placeholder)
We want two numbers that add to 0 and multiply to get -9.
Obviously, these numbers are 3 and -3.
Now we have 3(x² + 3x - 3x - 9).
Let's factor.
3(x(x+3)-3(x+3))
<u>3(x-3)(x+3)</u>
There are multiple shortcuts which you could make here, FYI:
Instead of splitting the middle, if your a value is 1, you can go straight to that step (x+number)(x+other number).
Whenever you have a difference of squares, like a²-b², that factors to (a+b)(a-b).
D is the correct fraction
Answer:
-2
Step-by-step explanation:
The coefficient is the number in front of the variable.
Answer:
125,000,000
Step-by-step explanation:
In percentage,
Media + Sales = 3 + 17 = 20%
Let total budget be "t", so we can say:
20% of total budget is 25,000,000
"of" means "multiplication" and "is" means "equal to", so we can convert word equation to algebraic equation. Shown below:
20% * t = 25,000,000
20% = 20/100 = 0.2
Thus, the final equation is:
0.2t = 25,000,000
Solving for t, we get:

The total budget is (125 million) = 125,000,000