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1- The polynomial 6x³+mx+nx-5 has a factor of x+1. when divided by x-1, the remainder is -4 what are the values of m and n? 2- Factor 2x^-7x³-41x²-53x-21 fully. sib tot ewene 3- Show that x+a is a factor of the polynomial p(x)= (x+a)ª+(x+c)ª-(a- c) 4. 4- Prove that x²+5x+6 is a factor of x^+5x³+2x²-20x-24. 5- When x³+kx +mx-3 is divided by x+2, the remainder is 1. when divided by x-1 the remainder is 4. Determine the values of K and m.

1- The polynomial 6x³+mx+nx-5 has a factor of x+1. when divided by x-1, the remainder is -4 what are the values of m and n? 2- Factor 2x^-7x³-41x²-53x-21 fully. sib tot ewene 3- Show that x+a is a factor of the polynomial p(x)= (x+a)ª+(x+c)ª-(a- c) 4. 4- Prove that x²+5x+6 is a factor of x^+5x³+2x²-20x-24. 5- When x³+kx +mx-3 is divided by x+2, the remainder is 1. when divided by x-1 the remainder is 4. Determine the values of K and m.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1- The polynomial 6x³+mx+nx-5 has a factor of x+1. when divided by x-1, the remainder is -4 what are the values of m and n? 2- Factor 2x4-7x³-41x²-53x-21 fully! 3- Show that x+a is a factor of the polynomial p(x)= (x+a)+(x+c)²-(a- c) 4. 4- Prove that x²+5x+6 is a factor of x^+5x³+2x²-20x-24. 5- When x³+kx²+mx-3 is divided by x+2, the remainder is 1. when divided by x-1 the remainder is 4. Determine the values of K and m.
Transcribed Image Text:1- The polynomial 6x³+mx+nx-5 has a factor of x+1. when divided by x-1, the remainder is -4 what are the values of m and n? 2- Factor 2x4-7x³-41x²-53x-21 fully! 3- Show that x+a is a factor of the polynomial p(x)= (x+a)+(x+c)²-(a- c) 4. 4- Prove that x²+5x+6 is a factor of x^+5x³+2x²-20x-24. 5- When x³+kx²+mx-3 is divided by x+2, the remainder is 1. when divided by x-1 the remainder is 4. Determine the values of K and m.
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