Sigh... writing polynomial function with given zeroes.. making a mistake somewhere

[mickey222]

I am meant to write a polynomial function of "least degree", with integer coefficents that has the given zeros:

7 (with a multiplicity of 2), -3, -7/2

I must write the answer in factored form, with no imaginary/irrational values.
Leave your answer in factored form, but make sure there are no irrational or imaginary values.


My attempt: (x-7)^2(x+3)(7x+2)



Alas, no.

 

[AmandasMathHelp]

Your last factor (7x+2).. you have the right idea but if you plug in -7/2 it will not be zero. Try that one again.

 

[mickey222]

Embarrassing, thanks Amanda.