Um.. Just a few polynominal questions I can't do. Hope you guys could help
. Thanks in Advance.
1. The polynominal (a-2)x2+(b+7)x-(c-8) has 3 distinct zeroes. What are the values of a,b,c?
2. Show that the equation 2x3 -3x2-7=0 has at least one root in the interval 2< x <3
3. Given px2+qx+1=0 has a root x=1
a) Show that qx2+px+1 also has a root at x=1
b) Write down the other roots of each equation and prove that their sum is the opposite of their product.
For 3, I've done part a, but I'm not so sure what part b means by 'prove that their sum is the opposite of their product'.
By the way, are we required to know 'Newton's Method of Approximation' because I've encountered a few questions which require it.
Thanks in Advance.![Smile :) :)](data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7)
1. The polynominal (a-2)x2+(b+7)x-(c-8) has 3 distinct zeroes. What are the values of a,b,c?
2. Show that the equation 2x3 -3x2-7=0 has at least one root in the interval 2< x <3
3. Given px2+qx+1=0 has a root x=1
a) Show that qx2+px+1 also has a root at x=1
b) Write down the other roots of each equation and prove that their sum is the opposite of their product.
For 3, I've done part a, but I'm not so sure what part b means by 'prove that their sum is the opposite of their product'.
By the way, are we required to know 'Newton's Method of Approximation' because I've encountered a few questions which require it.
Thanks in Advance.