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OpenStudy (henrietepurina):
Create a quadratic polynomial function f(x) and a linear binomial in the form (x − a).
Part 1. Show all work using long division to divide your polynomial by the binomial.
Part 2. Show all work to evaluate f(a) using the function you created.
Part 3. Use complete sentences to explain how the remainder theorem is used to determine whether your linear binomial is a factor of your polynomial function
OpenStudy (henrietepurina):
@jim_thompson5910
jimthompson5910 (jim_thompson5910):
do you have any work done so far?
OpenStudy (henrietepurina):
No, I haven't.... sorry
jimthompson5910 (jim_thompson5910):
"Create a quadratic polynomial function"
so what is one quadratic that comes to mind?
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OpenStudy (henrietepurina):
f(x)=b(x^2)+ax+c
jimthompson5910 (jim_thompson5910):
you might be thinking of ax^2 + bx + c
jimthompson5910 (jim_thompson5910):
pick 3 numbers for a,b,c
OpenStudy (henrietepurina):
sorry :D
OpenStudy (henrietepurina):
2 4 8
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jimthompson5910 (jim_thompson5910):
so that quadratic would be 2x^2 + 4x + 8
jimthompson5910 (jim_thompson5910):
"and a linear binomial in the form (x - a)."
so pick another value
OpenStudy (henrietepurina):
9
OpenStudy (henrietepurina):
@jim_thompson5910
jimthompson5910 (jim_thompson5910):
so we have
2x^2+4x+8 for the quadratic
and
x-9 for the linear binomial
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jimthompson5910 (jim_thompson5910):
so we have this long division problem
|dw:1420341624612:dw|
agreed?