If the polynomial p(x) is being divided my x-r, the remainder is p(r) TRUE OR FALSE

Mathematics

2 answers:

sertanlavr [38]2 years ago

8 0

Answer:

True. Remainder when divided by (x-r) is p(r).

Schach [20]2 years ago

7 0

Answer:

TRUE

Step-by-step explanation:

Let p(x) is divided by (x-r)

Then, by division algorithm of polynomials

p(x) = (x-r) Q(x) + R

R is the remainder and it is a constant because according division algorithm degree of remainder is always less than degree of divisor and greater than Or equal to 0. So it is 0.

Q(x) is quotient.

Now, if we particularly put x = r in the equation, we get.

p(r) = ( r-r) Q(r) + R

p(r) = R

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