If \( p-q \) is a factor of the polynomial \( p^{n}-q^{n} \), then (W) \( n \) is (a) a prime nu...

Channel:
Subscribers:
451,000
Published on ● Video Link: https://www.youtube.com/watch?v=Q5TGzpArih8



Duration: 5:23
2 views
0


If \( p-q \) is a factor of the polynomial \( p^{n}-q^{n} \), then
(W) \( n \) is
(a) a prime number
(b) an odd number
(c) an even number
(d) All of these
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2023-01-16The ratio of the remainders when the expression \( x^{2}+a x+b \) is divided by \( (x-2) \) and ...
2023-01-16Find the values of \( m \) and \( n \), if \( (x-m) \) and \( (x-n) \) are the factors of the ex...
2023-01-16A quadratic polynomial in \( x \) leaves remainders 4 , 4 and 0 , respectively when divided by \...
2023-01-16Let \( f\left(x+\frac{1}{x}\right)=x^{2}+\frac{1}{x^{2}} \), find the remainder when \( f(x) \) ...
2023-01-16If \( f(x+3)=x^{2}-7 x+2 \), then find the remainder when \( f(x) \) is divided by \( (x+1) \) (...
2023-01-16A polynomial \( f(x) \) leaves remainders 10 and 14 , respectively when divided by \( (x-3) \) a...
2023-01-16If the polynomials \( f(x)=x^{2}+9 x+k \) and \( g(x)= \) \( x^{2}+10 x+l \) have a common facto...
2023-01-16When \( f(x) \) is divided by \( (x-2) \), the quotient is \( Q(x) \) and the remainder is zero....
2023-01-16\( 3 x-4 \) is a factor of (a) \( 18 x^{4}-3 x^{3}-28 x^{2}-3 x+4 \) (b) \( 3 x^{4}-10 x^{3}-7 x...
2023-01-16For what values of \( m \) and \( n \), the expression \( 2 x^{2} \) \( -(m+n) x+2 n \) is exact...
2023-01-16If \( p-q \) is a factor of the polynomial \( p^{n}-q^{n} \), then (W) \( n \) is (a) a prime nu...
2023-01-16If \( (x-p) \) and \( (x-q) \) are the factors of \( x^{2}+p x+q \), then the values of \( p \) ...
2023-01-16Let \( f\left(x-\frac{1}{x}\right)=x^{2}+\frac{1}{x^{2}} \), find the remainder when \( f(x) \) ...
2023-01-16When the polynomial \( f(x)=a x^{2}+b x+c \) is divided by \( x, x-2 \) and \( x+3 \), remainder...
2023-01-16If \( f(x+1)=2 x^{2}+7 x+5 \), then one of the factors of \( f(x) \) is (a) \( 2 x+3 \) (b) \( 2...
2023-01-16The remainder when \( x^{45}+x^{25}+x^{14}+x^{9}+x \) divided by \( x^{2}-1 \) is (a) \( 4 x-1 \...
2023-01-16When the polynomial \( p(x)=a x^{2}+b x+c \) is divided (VI) by \( (x-1) \) and \( (x+1) \), the...
2023-01-16For what values of \( a \) and \( b \), the expression \( x^{4}+ \) (VI) \( 4 x^{3}+a x^{2}-b x+...
2023-01-16Find the remainder when \( x^{5} \) is divided by \( x^{2}-9 \). (a) \( 81 x \) (b) \( 81 x+10 \...
2023-01-16If \( (x+3)^{2} \) is a factor of \( f(x)=e x^{3}+k x+6 \), then find the remainder obtained whe...
2023-01-16If \( (x+1) \) and \( (x-1) \) are the factors of \( a x^{3}+b x^{2} \) \( +c x+d \), then which...