Question

For identifying a degree in polynomials, is it always the highest number in the variable? and also, how do you add and multiply the degrees?

Answer 1

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Answer 2

Degree is the highest power/index of the variable

Answer 3

How about adding the degrees all together?

Answer 4

For eg in the polynomial \[5g ^{2} + 3g ^{5} -11g ^{3} -53\]
the highest power/index of the variable g is 5
so, the degree of the polynomial is 5

Answer 5

give me a question and ill explain

Answer 6

(a) x^4-2x^2+3 and (b) x^3-1
it says "what is the degree of the sum of (a) and (b)

Answer 7

ok here it is

when u add the two, u have to add the terms with similar power/index together
here u do not have any terms with same power in the two polynomials and so on adding them will get
\[x ^{4} + x ^{3} -2x ^{2} +2\]

Answer 8

So the degree of the sum will be 4 as the highest power/index of x is 4

Answer 9

Basically u just look at the highest power of the variable in all the given polynomials and that will be the degree of their sum

Answer 10

and how about degree of the product?

Answer 11

It will be the sum of the highest powers of the variable in the given polynomials

Answer 12

so its 4?

Answer 13

for eg in the product of \[3x ^{3} - 5x ^{2}\] and \[2x ^{2} + 5x\]

Answer 14

the product will be \[6x ^{5} + 5x ^{4} - 25x ^{3}\]

Answer 15

So the degree of the product is 5 ie sum of highest power 3 of first polynom and 2 the highest power of second poly

Answer 16

oh ok, i understand now, thank you

Answer 17

In the example given by u abv, the degree of the product will be 7 ie sum of 4 and 3

Answer 18

clear???

Answer 19

ok, thanks, yep, clear

Answer 20

So pls giv me a medal so that this question is closed as answered satisfactorily