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anonymous
 one year ago
Explain the connection between factors of a polynomial, zeros of a polynomial function, and solutions of a polynomial equation.
anonymous
 one year ago
Explain the connection between factors of a polynomial, zeros of a polynomial function, and solutions of a polynomial equation.

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skullpatrol
 one year ago
Best ResponseYou've already chosen the best response.0What does "factors of a polynomial" mean to you?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0any polynomial which divides evenly into p(x)

skullpatrol
 one year ago
Best ResponseYou've already chosen the best response.0Just like factors of an integer, right?

skullpatrol
 one year ago
Best ResponseYou've already chosen the best response.0What is the definition of a "factor?"

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0a number or quantity that when multiplied with another produces a given number or expression.

skullpatrol
 one year ago
Best ResponseYou've already chosen the best response.0so in the product ab a and b are called what?

skullpatrol
 one year ago
Best ResponseYou've already chosen the best response.0dw:1433721293619:dw

skullpatrol
 one year ago
Best ResponseYou've already chosen the best response.0yes, variables represent numbers, right?

skullpatrol
 one year ago
Best ResponseYou've already chosen the best response.0dw:1433721463044:dw

skullpatrol
 one year ago
Best ResponseYou've already chosen the best response.0In this^ frame work we may replace a, b, and c with polynomials because a polynomial is simply a sum of monomials.

skullpatrol
 one year ago
Best ResponseYou've already chosen the best response.0Let's say our given polynomial can be written as a product. Then each of the factors can be called a number or quantity that when multiplied with another produces a given number or expression.

skullpatrol
 one year ago
Best ResponseYou've already chosen the best response.0Now the "zeros of a polynomial function" is when we replace c in ab =c with 0. We want ab = 0 to be a true statement This can only be true if and only if a = 0 or b = 0. This^ is called the "zeroproduct property" Now you know why I made such a big deal out of the definition of a "factor" :)

skullpatrol
 one year ago
Best ResponseYou've already chosen the best response.0And, finally the solutions of a polynomial equation are those values of the variable that make the above equation a true statement.

skullpatrol
 one year ago
Best ResponseYou've already chosen the best response.0dw:1433722590439:dw
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