We’re studying polynomials and got introduced to the remainder theorem. I’ve been having a really hard time wrapping my head around the logic of it. Like why do we have to find the zero of the divisor and how does inputting that Into the dividend work?? In our books, they gave a really confusing explanation of how we use it to divide the dividend with a divisor which is a linear equation of x-a or something like that. Would appreciate some help!
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The reason you have to find the zero of the divisor is because when X-A= 0 then X=A which is what allows for the substitution and since the division algorithm for Polynominals is Dividend = (Divisor × Quotient) + Remainder, setting the Divisor=0 means you’re just left with Divend = ( 0 x Quotient) + Remainder = Remainder.
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