P(x)=x^47+x^46

determine how many linear factors and zeros the polynomial function has

Parthus Connor
2022-07-12

P(x)=x^47+x^46

determine how many linear factors and zeros the polynomial function has

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Write A if the sequence is arithmetic, G if it is geometric, H if it is harmonic, F if Fibonacci, and O if it is not one of the mentioned types. Show your Solution.
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Is it true that if a, b, c are in arithmetic progression, and if the polynomials $(b-c){x}^{2}+(c-a)x+(a-b)$ and $2(c+a){x}^{2}+(b+c)x$ have a common root, then $a}^{2},\text{}{c}^{2},\text{}{b}^{2$ must be un arithmetic progression also?

asked 2021-11-08

Consider $A\left(x\right)={x}^{3}+{x}^{2}+1$ and $B\left(x\right)={x}^{2}+x+1$ in $GF\left(17\right)$ . Also, the irreducible polynomial is given as $p\left(x\right)={x}^{3}+1$

1. Find${A}^{2}\left(x\right)\u2014B\left(x\right)$ . (13 pts)

Hint: Use$p\left(x\right)$ if the initial result does not fall in $GF\left(17\right)$ .

2. Find${A}^{2}\left(x\right)\cdot {B}^{2}\left(x\right)$ . (12 pts)

Hint: Use$p\left(x\right)$ if the initial result does not fall in $GF\left(17\right)$ .

1. Find

Hint: Use

2. Find

Hint: Use

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