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Mathematics 29 Online
OpenStudy (anonymous):

Use synthetic division to determine whether the number k is an upper or lower bound (as specified for the real zeros of the function f). k = 2; f(x) = 5x^4 + 4x^3 - 2x^2 + 2x + 4; Upper bound?

OpenStudy (anonymous):

help meeeee

OpenStudy (abb0t):

I'm logging off now.

OpenStudy (anonymous):

@abb0t okay.........:(

OpenStudy (anonymous):

@jim_thompson5910 you are back!!

jimthompson5910 (jim_thompson5910):

are you familiar with synthetic division?

OpenStudy (anonymous):

yes!

jimthompson5910 (jim_thompson5910):

ok what do you get when you perform synthetic division?

OpenStudy (anonymous):

5x^3+14x^2+26x+54 with 112 remainder!

jimthompson5910 (jim_thompson5910):

very good

jimthompson5910 (jim_thompson5910):

notice how each coefficient of the quotient is positive

OpenStudy (anonymous):

yes!

jimthompson5910 (jim_thompson5910):

so this means that you have an upper bound IF you got alternating signs, then you would have a lower bound anything else would mean it's neither

OpenStudy (anonymous):

ohhhhh okay!! thankyou!! you are always the bestt:)

jimthompson5910 (jim_thompson5910):

np

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