Answer:
Step-by-step explanation:
The expression x^3 - x^2 - 17x -15) ÷ (x-5) shows that x+5 is one of the factor if the polynomial function. According to factor theorem, we will equate the factor to zero and find x;
x+5 = 0
x = -5
Next is to generate the remainder.
Substitute x = -5 into the polynomial function
P(x) = x^3 - x^2 - 17x -15
P(-5) = (-5)^3 - (-5)^2 - 17(-5) -15
P(-5) = -125-25+85-15
P(-5) = -150+70
P(-5) = -80
Hence the remainder is -80
Answer:
D m = 
Step-by-step explanation:
factor the expressions in the denominator and the numerator to simplify the expression:
=> 
=> 
to make a fraction undefined, the numerator should be 0, thus, we substitute the values of m from the options into the denominator to make the denominator equals to 0:
=> 
= 
= 
in this case, the values of m from option D make the denominator of the fraction equals 0.
Answer:
24
Step-by-step explanation:
I think there the same for each but I hope I helped
Take out the factor of 3 from both numbers
(69)/3 = 23
(12)/3 = 4
69 + 12 can be rewritten as 3(23 + 4)
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