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zalisa [80]
3 years ago
5

Find the degree of the polynomial 5mn^4+7mn^2p^5+15np

Mathematics
2 answers:
alexandr402 [8]3 years ago
7 0

Answer:

Degree 8.

Step-by-step explanation:

The term with the highest degree is  7mn^2p^5

It's degree is 1 +2+5 = 8.

The other terms have degree 5 and 2.

user100 [1]3 years ago
6 0

Answer:

The degree of this polynomial is "8"

Step-by-step explanation:

Recall that the degree of a polynomial is given by the degree of its leading term. Recall as well that the degree of a term is the maximum number of variables that appear in it.

So, let's examine each of the terms in the given polynomial, and count the number of variables they contain to find their individual degrees. then pick the one with maximum degree, and that its degree would give the actual degree of the entire polynomial.

1) term  5\,m\,n^4  contains one variable "m" and four variables "n", so a total of five. Then its degree is: 5

2) term  7\,m\,n^2\,p^5  contains one variable "m", two variables "n", and five variables "p". that is a total of eight variables. Then its degree is: 8

3) term 15\, n\, p  contains one variable n and one variable p. That is a total of 2. Then its degree is 2.

Based on the analysis above, and the fact that the term with highest degree is that of degree 8, the polynomial has degree 8.

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Step-by-step explanation:

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5 0
2 years ago
Read 2 more answers
YOOO MARKIN BRAINIEST !!
Brilliant_brown [7]
Y ≥ 2x-5
y-intercept is -5, from there go 2 up 1 over ( slope is rise over run)
greater than or equal so the line is connected
now find the shaded area by plugging in (0,0)
0 ≥2(0)-5
0 ≥-5 is correct so shade the area that to the left of the line, (the whole area that including (0,0))

y<-3x
y intercept is 0 so start from there and go down 3 right 1 (or go up 3 left 1)
broken like cause no or equal sign
the (0,0) is on the line so use (1,1) to find the answer
1<-3(1) is incorrect so shade the area that dies not include (1,1) or the entire area to the left of that line

you can see the section where both shaded area cross, thats the answer so erase every area you shaded that isn’t the answer so
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3 0
3 years ago
Read 2 more answers
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jek_recluse [69]

Step-by-step explanation:

let's look at the last line :

x³ + 8x - 3 = Ax³ +5Ax + Bx² + 5B + Cx + D

since we find A, B, C, and D by simply comparing the factors of the various terms in x (or constants) in both sides of the equation, we need to combine a few terms on the right hand side (so that we have one term per x exponent grade).

x³ + 8x - 3 = Ax³ + (5A + C)x + Bx² + (5B + D)

by comparing now both sides, to make both sides truly equal, the factors have to be equal.

A = 1 (the same as for x³ on the left hand side).

B = 0 (a we have no x² on the left side).

5A + C = 8 (a 8 is the factor of x in the left side).

5×1 + C = 8

5 + C = 8

C = 3

5B + D = -3 (as the constant term is -3 on the left side).

5×0 + D = -3

D = -3

so, the 4th answer option is correct.

7 0
2 years ago
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