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mars1129 [50]
3 years ago
7

Find the greatest common factor of the polynomial: 10x^5+15x^4-25x^3

Mathematics
2 answers:
Novosadov [1.4K]3 years ago
8 0

Answer:

Option C is correct.

Step-by-step explanation:

We need to find the greatest common factor of the polynomial

10x^5+15x^4-25x^3

The greatest common factor is the number that is divisible by all 3 terms of the polynomial.

so, the common factor is 5x^3 for above polynomial

Taking out the common factor

5x^3(2x^2+3x-5)

Now the term in the bracket has no other common factor

So, the greatest common factor of 10x^5+15x^4-25x^3 is 5x^3

So, Option C is correct.

noname [10]3 years ago
8 0

Answer:

Third option.

Step-by-step explanation:

The greatest common factor (GCF) for a polynomial is defined as the largest monomial that divides each term.

Given the polynomial 10x^5+15x^4-25x^3, the GCF of the coefficients can be found by descompose each one of them into their prime factors:

10=2*5\\15=2*5\\25=5*5

You can observe that the GCF of the coefficients is:

GFC_{(coefficients)}=5

Now you need to find the GCF of the variables. You can notice that each term has at least one x³, then:

 GFC_{(variables)}=x^3

Threfore, the GCF of the polynomial is:

GCF=5x^3

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1 4/8 in a improper fraction?
stiv31 [10]
<h2>Answer:\frac{3}{2}<u><em></em></u></h2>

Step-by-step explanation:

Step 1: Multiply the whole number part (1) by the denominator (8).

1 × 8 = 8

Step 2: Add the product from Step 1 (8) to the numerator (4).

8 + 4 = 12

Step 3: Write that result (12) above the denominator. So,

\frac4{8}{1}

Step 4: The fraction \frac{12}{8}

Can be reduced by dividing both numerator and denominator by the GCD(12,8) = 4. Thus,

\frac1{4}{8} =\frac{3}{2}

8 0
3 years ago
What is the reason that m&lt;2 and m&lt;3 are supplementary
katen-ka-za [31]

Answer:

see explanation

Step-by-step explanation:

∠2 and ∠3 are same- side interior angles and are supplementary.

6 0
3 years ago
Determine if the two lines with the given slope are parallel, perpendicular, or neither. Circle your
Sati [7]

Answer:

As the lines are neither parallel nor perpendicular.

Therefore, the correct answer is ''neither''.

Hence, option C is correct.

Step-by-step explanation:

Given

m₁ = 3/2

m₂ = -3/2

We know that when two lines are parallel, they have equal slopes

But

m₁ ≠ m₂

3/2 ≠ -3/2

As the m₁ and m₂ are not equal.

Hence, the lines are not parallel.

We know that when two lines are perpendicular, the product of their slopes is -1.

Let us check the product of two slopes m₁ and m₂

m₁ × m₂ = 3/2 × -3/2

              = -9/4

              = -2.25

As

m₁ × m₂ ≠ -1

Thus, the lines are not perpendicular.

Conclusion:

As the lines are neither parallel nor perpendicular.

Therefore, the correct answer is ''neither''.

Hence, option C is correct.

8 0
2 years ago
Which of the following steps should be completed first when simplifying ?
valkas [14]
Answer: combine like terms
3 0
3 years ago
Read 2 more answers
Proving parallel lines with alternate exterior angles. given: &lt;1 = &lt;2 prove: p || q
horrorfan [7]

Answer:

1. <1 = <2  -   given

2. <1 and <3 are vertical <s  -   def of vertical <s

3. <1 = <3  -     vertical angles theorem

4. <3 = <2   - transitive property

5. p II  q      - converse of corresponding angles theorem

Step-by-step explanation:

edg 2020

7 0
3 years ago
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