Answer:
(2x^3)(3x^3 +2x +5)
Step-by-step explanation:
The key words here are "greatest common factor." They have their usual English meanings. A common factor is one that is a multiplier in every term, so you need to look to see what those are. The "greatest common factor" is the largest common factor you can find.
first term: 2·3·x·x·x·x·x·x
second term: 2·2·x·x·x·x
third term: 2·5·x·x·x
A common factor is a factor that is on every list. I have shown them in bold. Once the common factor is factored out, the remaining factors are summed according to the distributive property.
6x^6 +4x^4 +10x^3 = (2x^3)(3x^3 +2x +5)
_____
Of course you recognize that each of the coefficient numbers is even. That means they are all divisible by 2. So, you know right away that 2 is a common factor.
There are powers of x in every term. The lowest power of x is x^3, and all the other powers are higher, so you know that x^3 will be a common factor, too. Having got this far, you can factor out 2x^3 and see if any of the remaining terms seem to have anything in common. They don't.
Answer:
Two consecutive even integers are 32 and 34.
Step-by-step explanation:
Let the two consecutive even integers are x and x+2.
ATQ,
Twice the smaller is 26 less than. 3 times the smaller
2x = 3(x-2) -26
2x = 3x-6-26
2x = 3x -32
32 = 3x-2x
x = 32
Hence, the smaller number be 32 and larger number be x+2 = 32+2 = 34.
AEB = CED = 180 - 45 - 14 = 121 deg
EDC = 180 - 121 - 27 = 32 deg
So angle D is 32 degrees
Answer:
6
Step-by-step explanation:
The slope (m) is given by ...
m = (y2 -y1)/(x2 -x1)
Filling in the given values, we have an equation we can solve for r.
-3 = (-4 -8)/(r -2)
r -2 = -12/-3 . . . . . multiply by (r-2)/-3
r = 6 . . . . . . . . . . . add 2
The bank which will charge a customer more in fees if she writes 18 checks per month, and by how much is Bank A by $0.30
<h3>How to write and solve equation?</h3>
let
Bank A = 2.50 + 0.15x
= 2.50 + 0.15(18)
= 2.50 + 2.7
= $5.20
Bank B = 4 + 0.05x
= 4 + 0.05(18)
= 4 + 0.9
= $4.9
Difference in charges = $5.20 - $4.90
= $0.30
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