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Polynomial Problems

Polynomial Problems
Polynomial Problems
  • Page 1
 1.  
z = 2 - 3i is 1 root of $z^3 - pz^2 + qz - r = 0$ and p,r and q are real. Find the real root in terms of p and r?


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 2.  
If p,q,r and s are real numbers such that pr = (q+s), then show that atleast one of the equations $x^2$+px+q = 0 and $x^2$+rx+s = 0 has real roots.


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 3.  

How to find all rational zeros?



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 4.  

In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 46, what is the dividend?



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 5.  

Use given zero to find the remaining zeros of the polynomial

g(x)=$2x^5-3x^4-5x^3-15x^2-207x-108$

Given zero: 3i



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 6.  

Ned needs to ship six identical packages, each weighing 3 lb 12 oz. What is the total weight of the shipment?



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 7.  

Ned needs to ship six identical packages, each weighing 3 lb 12 oz. What is the total weight of the shipment?



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 8.  

If x is 1/5 of y, y is 3/10 of z, and z > 0, then x is what fraction of z?



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 9.  

What is the difference between synthetic division and synthetic substitution?



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 10.  

What is 'extreme values of a polynomial'?



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