Given the polynomial function

If (x-3) is a factor of P(x), then

, for some polynomial Q of 1st degree,
Then according to the factor theorem P(3)=0, because P(3)=(3-3)Q(x)=0*Q(3)=0.
Check

≠0
we see that P(3) is not 0, so (x-3) is not a factor of P(x).
Answer: no
Answer:
The answer is the digit 3 is on the Ten-Thousandths place.
Step-by-step explanation:
<h2>
Answer:</h2>
The probability that a code starts with the number 7 is:
1/10
<h2>
Step-by-step explanation:</h2>
There are total 10 digits:
0 1 2 3 4 5 6 7 8 9
Also, the total number of codes that are possible using these digits are:
1000
( Since there are 10 choices for first place, 10 for second and 10 for third as well
Hence, total possibilities are: 10×10×10=1000 )
Also, if the first place of the code is fixed with number 7.
So, we need to chose the digits for second and third place.
Hence, total codes whose first digit is 7 are:
100
( Since the choice for first place is fixed and for second and third place we have 10 choices i.e. total such cases are: 1×10×10=100 )
Hence, the probability is calculated as:
Probability=100/1000
=1/10
Answer:
27
Step-by-step explanation:
hope this helped <3
A 28-foot ladder is leaning against a house. The bottom of the ladder is 6 feet from the base of the house. Find the measure of the angle formed by the ladder and the ground, to the nearest degree.