100 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!! PLEASE PROVIDE A GREAT ANSWER (ONE THATS EXPLAINED)IMPORTANT! (IF ITS NOT EXPLAINED IT WILL
BE REPORTED BECAUSE IN MY QUESTION I AM ASKING FOR YOU TO EXPLAIN)
PS: it would be helpful if you didnt just palce an answer dont just for points that doesnt make sense and its not explained.
PLEASE HELP LATEE WORK
The rectangle below has been reduced by a scale factor.
What is the area of the original rectangle?
25 cm²
75 cm²
375 cm²
450 cm²
PS: it would be helpful if you didnt just palce an answer dont just for points that doesnt make sense and its not explained.
PLEASE HELP LATEE WORK
The rectangle below has been reduced by a scale factor.
What is the area of the original rectangle?
25 cm²
75 cm²
375 cm²
450 cm²
2 answers:
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Answer:
Always
Always
Sometimes
Never
Step-by-step explanation:
P(X) + Q(X)
Sum of two polynomials is always a polynomial.
For example, Let P(x) = 3x² and Q(x) = 5x
P(x) + Q(x) = 3x² + 5x
This is again a polynomial.
In other words, we can say that Polynomial is closed under addition.
P(x) . Q(x)
Product of two polynomials is again a polynomial.
Let P(x) = 2x and Q(x) = a constant function, 5
Then the product = 10x, is again a polynomial.
Multiplication of two polynomials is closed.
P(x) / Q(x)
This need not always be a polynomial. When Q(x) = a constant function zero, i.e., Q(x) = 0, then the function is not defined.
But let's say P(x) = 5x² and Q(x) = x.
=
= 5x, a polynomial.
So, is a polynomial sometimes.
We can, say Division is not always closed.
1/Q(x)
This could never be a polynomial. This is not even in the form of a polynomial. So, is never a polynomial.
Hence, the answer.