Question

explain the method of synthetic division with example I aldready tried in google so no answers from Google explain with example​

Answer 1

Step-by-step explanation:

Synthetic division helps us work out polynomial division when the divisor is ... so it saves a ton of writing compared to using long division of polynomials. ... The best way to explain these steps is by way of an example. ... The numbers below the horizontal line that have not been circled are the coefficients of your answer

Answer 2

Answer:

Synthetic division is a shorthand method of dividing polynomials for the special case of dividing by a linear factor whose leading coefficient is 1. ... We then multiply it by the “divisor” and add, repeating this process column by column until there are no entries left.

example:

Example 1

Example 1Divide x3 + 5x2 -2x – 24 by x – 2

Example 1

Divide x3 + 5x2 -2x – 24 by x – 2

Solution

Change the sign of constant in the divisor x -2 from -2 to 2 and drop it down.

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x – 2 | x ³ + 5x² – 2x – 24

2 | 1 5 -2 -24

Also bring down the leading coefficient. This means that 1 be the first number of the quotient.

2 | 1 5 -2 -24

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1

Multiply 2 by 1 and add 5 to the product to get 7. Now bring 7 down.

2 | 1 5 -2 -24

2

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1 7