The placeholder 0s happen whenever a polynomial "skips" a power (like going from an x^3 term to an x term... it skips over an x^2 term). When you use Synthetic Division, you only see numbers, not the whole term with variables. Those numbers running across the bottom represent terms, so the powers are just putting the variables back on after the division has happened. Hope this helps!
thank u so much u saved my life
how and when do you know to use the place holder of zero and how'd you get the powers at the end of example 3?
The placeholder 0s happen whenever a polynomial "skips" a power (like going from an x^3 term to an x term... it skips over an x^2 term).
When you use Synthetic Division, you only see numbers, not the whole term with variables. Those numbers running across the bottom represent terms, so the powers are just putting the variables back on after the division has happened.
Hope this helps!
@@curtaincommander yes! thank you!!