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)
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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:
the length is 18.4
Step-by-step explanation:
8 with a remainder of 10 or 8 and 10/15 orrrrr 8 and 1/3
Chocolate, Vanilla, and Strawberry with sprinkles marshmallows, and peanuts.
Answer:
NM = 15
Step-by-step explanation:
Given a secant and a tangent from an external point to the circle, then
The square of the measure of the tangent is equal to the product of the secant's external part and the entire secant, that is
(x + 3)² = (x - 3)(x - 3 + 16)
(x + 3)² = (x - 3)(x + 13) ← expand both sides using FOIL
x² + 6x + 9 = x² + 10x - 39 ( subtract x² + 10x from both sides )
- 4x + 9 = - 39 ( subtract 9 from both sides )
- 4x = - 48 ( divide both sides by - 4 )
x = 12
Then
NM = x + 3 = 12 + 3 = 15
