Please help me with this!!!
1 answer:
The easiest way to attempt such questions is to throw in some numbers and do trial and error.
The question is asking about the change in values
depending on the change in 
. So, let's play around with .
Take
, then 
Take
, then 
Take
, then 
.
.
.
Take
, then 
Notice how decreases in value for every increase in ?
Therefore, as increases, the value of decreases (always).
Ans: B
The question is asking about the change in values
Take
Take
Take
.
.
.
Take
Notice how
Therefore, as
Ans: B
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Degree of a polynomial gives the highest power of its terms. Yes there is a difference between the degrees of sum and difference of the polynomials.
<h3>What is degree of a polynomial?</h3>Degree of a polynomial is the highest power that its terms pertain(for multi-variables, the power of term is addition of power of variables in that term).
Thus, in , the degree of the polynomial is 3 as the highest power in its terms is 3.
(power and exponent are same thing)
<h3>What are like terms?</h3>Those terms which have same variables raised with same powers.
For example, and
are like terms since variable is same, and it is raised to same power 3.
For example and
are not like terms as the variables are same but powers aren't same.
The given polynomials are:
Their sum is
(only like terms' coefficients can be added (or subtracted) for addition or subtraction of them )
The sum's degree is 7
Their difference is:
Difference's degree is 5
Thus, both's degrees are not same.
Thus, Yes there is a difference between the degrees of sum and difference of the polynomials.
Learn more about subtraction of polynomials here: