A student's PID (personal identification number) is a sequence of six digits. How many different PID numbers are possible?
1 answer:
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We are dividing 
by (x+1).
According to the "Division algorithm":
P(x)=D(x)*Q(x)+R(x),
where P(x) is the dividend polynomial, D(x) is the divisor polynomial, Q(x) is the quotient polynomial and R(x) the remainder which must be of smaller degree than the divisor.
so
R(x)=c, a constant, because the divisor is a linear.
also notice that Q(x) must be a linear of the form 3x+a:
comparing the coefficients, we have:
-2=a+3 and 7=a+c
a=-5, then 7=-5+c, so c=-12
Answer: the quotient is 3x-5
According to the "Division algorithm":
P(x)=D(x)*Q(x)+R(x),
where P(x) is the dividend polynomial, D(x) is the divisor polynomial, Q(x) is the quotient polynomial and R(x) the remainder which must be of smaller degree than the divisor.
so
R(x)=c, a constant, because the divisor is a linear.
also notice that Q(x) must be a linear of the form 3x+a:
comparing the coefficients, we have:
-2=a+3 and 7=a+c
a=-5, then 7=-5+c, so c=-12
Answer: the quotient is 3x-5
Answer:
a. d =
b. d =
c. d =
Step-by-step explanation:
to find the length of the longest diagonal of the cube at first you will find the length of the diagonal if its base
If the length of the side of a cube is x
∴the length of the diagonal of the base =
Now to find the length of the longest diagonal we will use Pythagoras with the side of the cube and the diagonal of the base
means the length of the side multiply by root 3
a. The length of the side is 1 so
b. The length of the side is 2 so
c. The length of the side is <em>s s</em>o