Question

what is the GCMF of 10c3-80c5-5c6+5c7

Can you guys help me for this to solve,, awiit​ :-(

Answer 1

Answer:

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Step-by-step explanation:

answer:

5c

Step-by-step explanation:

it is a mix of numbers and variables so think of a number and variable that could divide all the terms, so we have 1 and 5 that can divide all the numbers and thr variable "c" because all the terms have "c" as their variable

then we have to choose between 5c and 1c or "c". But as the question asked, the GREATEST common factor, therefore 5c is the answer.

if it is helpful please like

Answer 2

The GCMF of $\mathsf{10c^{3}-80c^{5}-5c^{6}+5c^{7}}$ is $\mathsf{5c^{3}}$.

What is GCMF?

• The full form of GCMF is Greatest Common Monomial Factor.

• In order to find GCMF, we take the terms separately and find their factors. Then we calculate the common factor by multiplying the common factors for each term.

Determining from the given polynomial:

Here, the terms of $\mathsf{10c^{3}-80c^{5}-5c^{6}+5c^{7}}$ are $\mathsf{10c^{3}}$, $\mathsf{80c^{5}}$, $\mathsf{5c^{6}}$ and $\mathsf{5c^{7}}$.

Let us find the factors of each term.

• $\mathsf{10c^{3}=2\times 5\times c\times c\times c}$

• $\mathsf{80c^{5}=2\times 2\times 2\times 2\times 5\times c\times c\times c\times c\times c}$

• $\mathsf{5c^{6}=5\times c\times c\times c\times c\times c\times c}$

• $\mathsf{5c^{7}=5\times c\times c\times c\times c\times c\times c\times c}$

Clearly, the common factors of the above four terms are $\mathsf{5}$, $\mathsf{c}$, $\mathsf{c}$ and $\mathsf{c}$.

Thus the GCMF is the product of the common factors

$\mathsf{=5\times c\times c\times c}$

$\mathsf{=5c^{3}}$