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).
Answer:
8
Step-by-step explanation:
3^2 = 9 - 1 = 8
Option B. Quotient is the right answer
Step-by-step explanation:
Given expression is:
p/2 +4(7+p)
Let us look at the options one by one
<u>A. factor</u>
p/2 is not a factor as the factor is always multiplied with another factor
<u>B. quotient</u>
This is the right answer as p is being divided by 2. The quotient of both will be used for further calculations
Hence,
Option B. Quotient is the right answer
Keywords: MCQs, Expressions
Learn more about polynomial expressions at:
#LearnwithBrainly
1) Let's evaluate that expression
3x+5
2) Since the value of x has been given, then let's plug that into the expression
3x+5
3(5) +5
15 +5
20
3) The answer is 20
Answer: y=2x+14
Explanation:
Y=mx+b
Y= 2x-4
M=2
Y= 2x+b
2 = (2 x -6) + b
2=-12+b
12+2=12+b
-12
14=0+b
14=b
Y=2x+14
