Dottie Parra

2021-01-08

Synthetic division is a process for dividing a polynomial by x - c.
The coefficient of x in the divisor is 1.
How might synthetic division be used if you are dividing by $2x-4$?

averes8

Step 1
Synthetic division is a method of polynomial division of a cubic polynomial in linear form.
Synthetic division is generally used however, not for dividing out factors but for finding the roots (or zeroes) of polynomials.
Assume, $y={x}^{2}+5x+6$, be a polynomial then we can factor the polynomial as $y=\left(x+3\right)\left(x+2\right)$.
This polynomial can be solved by using a simple basic algebraic formula $x=\frac{-b±\sqrt{{b}^{2}-4ac}}{2}a$
Step 2
The coefficient of x in the divisor is 1, as already been said Synthetic division is generally used however,
not for dividing out factors but for finding the roots (or zeroes) of polynomials.
Hence, the coefficient of x is of less concern and we cannot divide any polynomial with another polynomial unless otherwise it is factored.
Synthetic division cannot be used if the dividing polynomial coefficient has some constant values.

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