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given a polynomial and one of its factors, find the remaining factors of the polynomial. some factors may not be binomials. use long division.

Given A Polynomial And One Of Its Factors Find The Remaining Factors Of The Polynomial Some Factors May Not Be Binomials Use Long Division class=

Sagot :

Find attached solution. Cheers.

The second quadratic function is not factorisable, so we leave it that way.

Cheers.
View image olemakpadu
this is easy to do because you can factor
example
6/2=3 because 6=2*3 so 6/2=3/1 times 2/2 or 3

2x^3+17x^2+23x-42 can be factored out to equal
(x-1)(x+6)(2x+7)

so [(x-1)(x+6)(2x+7)]/(2x+7)=[(x-1)(x+6)] times (2x+7)/(2x+7)=(x-1)(x+6)=x^2+5x-6

the answer is (x-1)(x+6) or x^2+5x-6