Answer:

Step-by-step explanation:
Given
See attachment
Required
Determine f(0)
To solve for f(0), we make use of:

Because:
is true for 
So, we have:




Answer:
d)
Step-by-step explanation:
the polynomial remainder theorem states that the remainder of the division of a polynomial f(x) by a linear polynomial x-r is equal to f(r). In particular, x-r is a divisor (that means a factor) of f(x), if and only if f(r)=0.
our r here is -1 to get x + 1.
f(-1) = 2×(-1)³ + 5×(-1)² - -1 - 6 = -2 + 5 + 1 - 6 = -2
the remainder is -2.
and since the remainder is <> 0, the binomial cannot be a factor.
Answer:
m is 55.
Step-by-step explanation:
Multiply both sides by 5 to isolate the variable m
11=m/5
11*5=m
55=m
1 way is (100 divide by 5) +(35 divide by 5)
2 way is (50 divide by 5) + (85 divide by 5)