Synthetic Division When the Divisor has a Coefficient that is NOT 1

If you have been using synthetic division, you may have come across a divisor that has a coefficient that is not equal to 1. In this video I will explain how to use synthetic division when the divisor has a coefficient that is not 1 so that you can continue using this amazing strategy instead of polynomial long division!
While polynomial long division will work when dividing a polynomial by a binomial when the coefficient is not 1, it ends up being long, complicated, and difficult process. Because of this, I always teach my students both polynomial long division and synthetic division.
But if you aren't careful, applying synthetic division as you normally do will lead to errors if the coefficient on the divisor is equal to 1!
In this video I will walk you through how to apply the synthetic division algorithm to divide a polynomial of degree 3 by a binomial divisor that has a coefficient that is not 1. Note that this example results in a remainder of that is NOT zero.
The trick here is to divide the coefficients of the polynomial by the coefficient of the divisor. My hope is that the example I show you in this video will help you master this process!
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[@KRUT92.0]

Thank you sir 🙏

[@MathByThePixel]

You are very welcome! Happy dividing! 👍🤓

[@KRUT92.0]

So sir if it would be 3x + 1 =0 so we would take -1/3 and divide everything by 3 ?

[@MathByThePixel]

@KRUT92.0 you got it!

[@KRUT92.0]

@@MathByThePixelThank you sir Love from India 🇮🇳

[@KRUT92.0]

Sir can u make a video on world problems of Quadratic equation mainly on upstream downstream and aging relating sums

[@MathByThePixel]

Can you give me examples of such problems?

[@KRUT92.0]

@@MathByThePixel Sure sir like this A motor-boat, whose speed is 9 km/h in still water, goes 12 km downstream and comes back in a total time of 3 hours. Find the speed of the stream.AND like this Some students planned a picnic. The budget for the food was₹480.As eight of them failed to join the party, the cost of the food for each member increased by 10. Find, how many students went for the picnic ? 🤔 pls sr help in these type of questions