How To Form A Polynomial With The Given Zeroes

To find a quadratic (that is, a degree-two polynomial) from its zeroes or roots, we convert the statement that x = a is a zero to the fact that x − a must then have been a factor. We can use

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4.4 Solve Polynomial Equations by Factoring

If the rational number x = b c x = b c is a zero of the n n th degree polynomial, P (x) = sxn +⋯+t P ( x) = s x n + ⋯ + t. where all the coefficients are integers then b b will be a factor
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