Answer:
The factored expression is 2(x² + 5)(x + 3).
Step-by-step explanation:
Hey there!
We can use a factoring technique referred to as "grouping" to solve this problem.
Grouping is used for polynomials with four terms as a quick and easy factoring method to remove the GCF and get down to the initial terms that create the expression/function.
Grouping works in the following matter:
- Given equation: ax³ + bx² + cx + d
- Group a & b, c & d: (ax³ + bx²) + (cx + d)
- Pull GCFs and factors
Let's apply these steps to the given equation.
- Given equation: 2x³ + 6x² + 10x + 30
- Group a & b, c & d: (2x³ + 6x²) + (10x + 30)
- Pull GCFs and factors: 2x²(x + 3) + 10(x + 3)
As you'll see, we have a common term with both sides of the expression. This term, (x + 3), is a valuable asset to the factoring process. This is one of the factors for our expression.
Now, we use our GCFs to create another factor.
- List GCFs: 2x², 10
- Create a term: (2x² + 10)
Finally, we'll need to simplify this one by taking another GCF, 2.
- Pull GCF: 2(x² + 5)
Now that we have this term, we need to understand that this <em>could</em> also be factored further using imaginary numbers, but it is also acceptable to leave it in this form.
Therefore, we have our final factors: 2(x² + 5) and (x + 3).
However, when we factor, we place all of our terms together. This leaves us with the final answer: 2(x² + 5)(x + 3).
Answer:
Constants: 8 and 10
Step-by-step explanation:
Answer:
24) A
22) B
Step-by-step explanation:
24)
Original Price: d
Sale: 30%
A sale means that a value is subtracted from the original price
d - 30% = 0.7d
All options given:
A) 0.3d
B) 0.7d
C) d - 0.3d = 0.7d
D) (1.0 - 0.3)d = 0.7(d) = 0.7d
All of these options are equal to the price after the sale, except A.
A is the answer to question 24
22) m > 0, n > 0 Use an example to represent m and n
m = 1, n = 2 = -0.5
-0.5 is a rational, negative number
The answer to question 22 is B
Hope this helps :)
Great, because y=2x+5 is 3xy kay.
