A prime polynomial cannot be written as a product of lower-degree polynomials. Which polynomial is prime? A)8x2 – 10x – 3 b)8x2
2 answers:
Answer:
Option (A) and (C).
Step-by-step explanation:
Prime polynomial can't be written as a product of lower degree polynomials.
(A)
=8x²-6x-4x-3
=2x(4x-3)-1(4x+3)
Here we can't write the polynomial as a product of lower degree.
Therefore it is a prime polynomial.
(B)
8x²+2x-3
=8x²+6x-4x-3
=2x(4x+3)-1(4x+3)
=(4x+3)(2x-1)
Therefore it is not a prime polynomial.
(C)
8x²-6x-3
Therefore it is a prime polynomial.
(D)
8x²+23x-3
=8x²+24x-x-3
=8x(x+3)-1(x+3)
=(x+3)(8x-1)
Therefore it is not a prime polynomial.
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Answer:
The students got 3 signatures on first day.
Step-by-step explanation:
We are given the following in the question:
The number of signatures students get each day is 3 times as many as the day before.
Thus, the number of signatures form a geometric progression with common ratio 3.
Number of signatures on sixth day =
term in a geometric progression is given by:
where a is the first term of the series and r is the common ratio.
Thus, the first term of geometric progression is 3.
Thus, the students got 3 signatures on first day.