Answer:
Yes, (x - 3) is a factor of P(x) and 3 is a zero or root of P(x)
Step-by-step explanation:
Determine whether or not (x - 3) is a factor by using synthetic division with +3 as the divisor. The coefficients of the polynomial p(x) are {2 -5 -4 0 9}.
Setting up synthetic division:
3 / 2 -5 -4 0 9
6 3 -3 -9
-------------------------------
2 1 -1 -3 0
Since the remainder is zero (0), we know that 3 is a root of the polynomial P(x) and that (x - 3) is a factor of said polynomial.
Answer:thanks
Step-by-step explanation:
Answer:
-36s + 54
Step-by-step explanation:
−9(5s − 6) + 9s =
-45s + 54 + 9s =
-36s + 54
Answer:
Step-by-step explanation:
Given question is incomplete: Find the compete question in the attachment.
a). Skew lines neither the parallel lines nor they intersect each other.
Two pairs of skew lines are BF and EH, & CG and EF.
b). Since EFGH and ABCD are rectangular planes and BF and DH are perpendicular to them,so both will be the altitudes between the planes.
Therefore, BF and DH will pe parallel.
c). BD and DH are the diagonals of the planes parallel to each other.
Therefore, BD and DH will be parallel.
d). Since BD and plane EFG don't intersect each other, so the solution will be an empty set.
e). HG is perpendicular to DH. So,the planes BDH and FHG containing these lines will be perpendicular to each other.
Answer:
Recursive equation
and
where, n = 1, 2, 3, 4, ........ .
Explicit equation
.
Step-by-step explanation:
The given series is an G.P. series and the common ratio is 0.75.
Now, the terms are 20, 15, 11.25, .......
Therefore, the explicit equation of the series will be 
Again, the recursive equation of the given G.P. series will be
and
where, n = 1, 2, 3, 4, ........