Answer:
5m^5 + 15m⁴ + 35m³
Step-by-step explanation:
GCF means greatest common factor.
The Greatest common factor of two monomials for example, is the product of the common prime factors of both monomials.
We are to develop a trinomial which would have 5m³ as its greatest common factor.
To Create a trinomial where the GCF of the trinomial is 5m³, we would find a trinomial that can't be factored and multiply it by 5m³.
A trinomial is a polynomial which has three terms (monomials) connected by addition or subtraction.
Let's consider the trinomial m² + 3m + 7
This trinomial cannot be factored because there are no common factors between them. The constants to be considered are 3 and 7.
3 is a prime number and therefore can only be factored to 1 and 3.
7 is a prime number and therefore can only be factored to 1 and 7.
Since there are no common factors other than 1, the constants cannot be factored.
By multiplying 5m³ with the trinomial m² + 3m + 7
We would have:
5m³ (m² + 3m + 7) = 5m^5 + 15m⁴ + 35m³
From the above, the trinomial where the GCF of the trinomial is 5m³ = 5m^5 + 15m⁴ + 35m³
Answer: Sorry this took so long, here is the photo
Solve for z by simplifying both sides of the equation, then isolating the variable.
The correct one is 20 because it would 2x=40 divide by 2 you get 20
<u>Answer:</u>
Vt = 4071.5 ft^3
<u>Step-by-step explanation:</u>
Givens:
Equations
- V = (4/3)(pi)r^3
Find: Vt (Total Volume)
Vt = (1/2)V1 + (1/2)(V2)
Vt = (1/2)(V1 + V2) <em>[Factor out (4/3) and (pi) from volumes]</em>
Vt = (1/2)(4/3)(pi)(R^3 + r^3) <em>[Sub in Values]</em>
Vt = 4071.5 ft^3