. What is the remainder when the polynomial (x + 125) is divided by (x+5)?
Answers
Answer:
remainder of (x+125) is divided by (x+5) is 120
Hey,
Question :-
What is the remainder when x + 125 is divided by x + 5
Solution :-
f(x) = x + 5 = 0
f(x) = x = 0 - 5
f(x) = x = -5
p(x) = x + 125
p(-5) = -5 + 125
p(x) = 120
Further Information :-
1. Let f(x) be a polynomial of degree x > 1 and let a be any real number. When f(x) is divided by (x - a), then the remainder is f(a). (Remainder Theorem)
2. Let f(x) be a polynomial of degree greater than or equal to 1 and a be any real number such that p(a) = 0, then (x - a) is a factor of f(x). (Factor Theorem)
3. An algebraic expression in which the variables involved have oy non - negative integral powers is called a polynomial. (Non - negative integrals :- 0, 1, 2, 3, 4, 5...) whose powers are not in negative or fraction.
Hope That Helps :)
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