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Suppose you divide a polynomial by a binomial. How do you know if the binomial is a factor of the polynomial? Create a sample problem that has a binomial which IS a factor of the polynomial being divided, and another problem that has a binomial which is NOT a factor of the polynomial being divided.
 one year ago
 one year ago
Suppose you divide a polynomial by a binomial. How do you know if the binomial is a factor of the polynomial? Create a sample problem that has a binomial which IS a factor of the polynomial being divided, and another problem that has a binomial which is NOT a factor of the polynomial being divided.
 one year ago
 one year ago

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cwrw238Best ResponseYou've already chosen the best response.1
one way is by using the factor theorem if f(x) is divisible by (xa) then f(a) = 0 an example would be x^3  2x^2 + 4x  8 test to see if this is divisible by (x2) f(2) = 2^3  2(2)^2 + 4(2)  8 = 0 so by factor theorem it is a factor
 one year ago

cwrw238Best ResponseYou've already chosen the best response.1
lets see if x+3 is a factor of the above polynomial f(3) = 3^3 2(3)^2 +4(3)  8 = 27 18  12  8 = 65 so x+3 is not a factor by another theorem (the remainder theorem) remainder = 65 for the division The factor theorem is a special case of remainder theorem
 one year ago

FeoNeo33Best ResponseYou've already chosen the best response.0
Interesting, I see now. This is mine that I just came up with, 2x^4  9x^3 +21x^2  26x + 12 by 2x  3.
 one year ago
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