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aivan3 [116]
3 years ago
16

Suppose you divide a polynomial by a binomial. How do you know if the binomial is a factor of the polynomial? Create a sample pr

oblem 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.
Mathematics
1 answer:
s2008m [1.1K]3 years ago
4 0
The divisor is a factor if you get the remainder  zero after division.

<span>Just as you know that 4 is a factor of 16 because 16/4 has zero remainder. </span>

<span>For example, </span>

<span>(2x-1)(x+2)(3x+7) / (x+2) </span>
<span>= (6x^3+23x^2+15x-14)/(x+2) </span>

<span>we know that the remainder is zero, because we constructed it that way. To make that a fraction where the divisor is NOT a factor, just change any of the coefficients. Then the divisor will no longer go in evenly.</span>
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