Prove that \( x^{m}+1 \) is a factor of \( x^{m n}-1 \) if \( n \) is even. :0:
Prove that \( x^{m}+1 \) is a factor of \( x^{m n}-1 \) if \( n \) is even.
:0:
ЁЯУ▓PW App Link - https://bit.ly/YTAI_PWAP
ЁЯМРPW Website - https://www.pw.live
Other Videos By PW Solutions
| 2023-01-16 | The expression \( x^{4005}+\gamma^{4005} \) is divisible by \( ((x+y) \) or \( (x-y)) \) |
| 2023-01-16 | The value of \( a \) for which \( x-7 \) is a factor of \( x^{2}+ \) \( 11 x-2 a \), is |
| 2023-01-16 | If \( x^{555} \) is divided by \( x^{2}-4 x+3 \), then find its remainder. |
| 2023-01-16 | The remainders of a polynomial \( f(x) \) in \( x \) are 10 and 15 respectively when \( f(x) \) ... |
| 2023-01-16 | When \( x^{4}-3 x^{3}+4 x^{2}+p \) is divided by \( (x-2) \), the remainder is zero. Find the va... |
| 2023-01-16 | If \( (x-3) \) is a factor of \( x^{2}+q \) (where \( q \in Q \) ), then find the remainder when... |
| 2023-01-16 | \( 50 \Omega \) рдкреНрд░рддрд┐рд░реЛрдз рдХреЗ рдзрд╛рддреНрд╡рд┐рдХ рддрд╛рд░ рдХреЛ рдЦреАрдВрдЪрдХрд░ рдЙрд╕рдХреА рд▓рдореНрдмрд╛рдИ рджреЛ рдЧреБрдиреА рдХрд░ рджреЗрддреЗ рд╣реИрдВред рдЙрд╕рдХрд╛ рдирдпрд╛ рдкреНрд░рдд... |
| 2023-01-16 | Find the common factors of the expressions \( a_{1} x^{2} \) \( +b_{1} x+c_{1} \) and \( a_{2} x... |
| 2023-01-16 | If \( \left(x^{2}-1\right) \) is a factor of \( a x^{3}-b x^{2}-c x+d \), then find the relation... |
| 2023-01-16 | Find a linear polynomial which when divided by \( (2 x+1) \) and \( (3 x+2) \) leaves remainders... |
| 2023-01-16 | Prove that \( x^{m}+1 \) is a factor of \( x^{m n}-1 \) if \( n \) is even. :0: |
| 2023-01-16 | For what values of \( m \) and \( n \) is \( 2 x^{4}-11 x^{3}+m x+ \) \( n \) is divisible by \(... |
| 2023-01-16 | 112 рдкрд░рдорд╛рдгреБ рдХреНрд░рдорд╛рдВрдХ рд╡рд╛рд▓реЗ рддрддреНрддреНрд╡ рдХрд╛ рдирд╛рдо рд╡ рдкреНрд░рддреАрдХ рдХреНрдпрд╛ рд╣реИ?
(A) рдХреЛрдкрд░рдирд┐рд╕рд┐рдпрдо, Cn
(B) рдУрдЧрд╛рдиреЗрд╕рди, \( \math... |
| 2023-01-16 | рдирд┐рдореНрди рдореЗрдВ рд╕реЗ рдХреМрди-рд╕рд╛ рдЕрдкрдорд╛рд░реНрдЬрдХреЛрдВ рдХреЗ рдмрд╛рд░реЗ рдореЗрдВ рд╕рд╣реА рдХрдерди рдирд╣реАрдВ рд╣реИ?
(A) рдЛрдгрд╛рдпрдирд┐рдХ рдЕрдкрдорд╛рд░реНрдЬрдХ рд╕рд▓реНрдлреЛрдиреАрдХреГрдд рд▓рдореНрдм... |
| 2023-01-16 | A polynomial \( f(x) \) leaves remainders 10 and 14 , respectively when divided by \( (x-3) \) a... |
| 2023-01-16 | Find the values of \( m \) and \( n \), if \( (x-m) \) and \( (x-n) \) are the factors of the ex... |
| 2023-01-16 | Let \( f\left(x+\frac{1}{x}\right)=x^{2}+\frac{1}{x^{2}} \), find the remainder when \( f(x) \) ... |
| 2023-01-16 | If \( (x-2)^{2} \) is a factor of \( f(x)=x^{3}+p x+q \), then find the remainder when \( f(x) \... |
| 2023-01-16 | If the polynomials \( f(x)=x^{2}+9 x+k \) and \( g(x)= \) \( x^{2}+10 x+l \) have a common facto... |
| 2023-01-16 | When \( f(x) \) is divided by \( (x-2) \), the quotient is \( Q(x) \) and the remainder is zero.... |
| 2023-01-16 | The ratio of the remainders when the expression
(W) \( x^{2}+b x+c \) is divided by \( (x-3) \) ... |
0