As we’ve seen, long division with polynomials can involve many steps and be quite cumbersome. Synthetic division is a shorthand method of dividing polynomials for the special case of dividing by a linear factor whose leading coefficient is 1. To illustrate the process, recall the example at th...
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Polynomial Long Division Conjugate Rationalizing The Denominator Quadratic Equations Solving Quadratic Equations Completing the Square Solved Examples on Algebra Example 1: Solve the equation 5x – 6 = 3x – 8. Solution: Given, 5x – 6 = 3x – 8 ...
When we are dividing a polynomial by something more complicated than just a simple monomial, then we will need to use a different method for the simplification. This method is called "long (polynomial) division", and it works just like the long (numerical) division you did back in elementary...
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1. ( x 2 + 4 x + 3) ÷ ( x + 3) dividend divisor x +1 2 x + 3 x + 4x + 3 Set up like long division Match the first term (x ? x=x2), Multiply x(x+3) Subtract and bring down rest of dividend Multiply x+3(1), Subtract to find Remainder ? ( x 2 + 3 x) x...
synthetic division a shortcut method that can be used to divide a polynomial by a binomial of the form x – k Candela Citations CC licensed content, Shared previously Precalculus. Authored by: Jay Abramson, et al.. Provided by: OpenStax. Located at: http://cnx.org/contents/fd53eae1-fa...
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