Question

determine the greatest common monomial factor of polynomial and write its factored form
1. x²+2x
2. 5x² - 10x³
3. 25x²y³ + 55xy³
4. 10c³ - 80c^5 - 5c^6 + 5c^7
5. 12m^5n² - 6m²n³ + 3mn

1. How did you find the GCMF of the numerical coefficients of each term?
2. How did you find the GCMF of the variables in each term?
3. What did you do to the obtained GCF of the numerical coefficient and GCF of the variables?
4. How did you find the remaining factors?
5. Did you have any difficulty in finding the GCF of the terms?
6. Did you have any difficulty in finding the remaining factor/s of polynomials after GCF is obtained? If so, why? If none, what helped you factor those expressions correctly

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Answer 1

Answer:

CAN'T UNDERSTAND SISTER SORRY

Answer 2

Step-by-step explanation:

Given:

1. x²+2x

2. 5x² - 10x³

3. 25x²y³ + 55xy³

4. 10c³ - 80c^5 - 5c^6 + 5c^7

5. 12m^5n² - 6m²n³ + 3mn

To find: Determine the greatest common monomial factor of polynomial and write its factored form.

Solution:

1. x²+2x

Ans: x(x+2)

2. 5x² - 10x³

Ans: 5x²(1-2x)

3. 25x²y³ + 55xy³

Ans: 5xy³(5x+11)

4. 10c³ - 80c^5 - 5c^6 + 5c^7

Ans: 5c³(2-16c²-c³+c⁴)

5. 12m^5n² - 6m²n³ + 3mn

Ans: 3mn(4m³n-2mn²+1)

1. How did you find the GCMF of the numerical coefficients of each term?

Ans: Analyze the polynomial carefully.

You will see some common constant, take that out from the expression, you will have GCMF og numerical coefficient.

2. How did you find the GCMF of the variables in each term?

Ans:Analyze the polynomial carefully.

You will see some common variable, also check for degree, take those out from the expression, you will have GCMF of variables and the expression in terms of its factors.

3. What did you do to the obtained GCF of the numerical coefficient and GCF of the variables?

Ans: Take common both from the expression.

4. How did you find the remaining factors?

Ans: The left over multiple of coefficients and remaining degree of variables are left on each term.

5. Did you have any difficulty in finding the GCF of the terms?

Ans: No

6. Did you have any difficulty in finding the remaining factor/s of polynomials after GCF is obtained? If so, why? If none, what helped you factor those expressions correctly

Ans: No

it is quite easy to find remaining factors of coefficients, just by division and subtracting degree of variables.

Hope it helps you.

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