Factor of Polynomial Function 1

[mathdad]

Use synthetic division to determine if x - c is a factor of the given polynomial function.

2x^6 - 18x^4 + x^2 - 9; x + 3

Change 3 to - 3. Plug into function.

2(-3)^6 - 18(-3)^4 + (-9)^2 - 9

2(729) - 18(81) + 81 - 9

1458 - 1458 + 72

0 + 72

72

The number 72 is not zero. So, x + 3 is not a factor of the polynomial.

Yes?

 

[Harry_the_cat]

Use synthetic division to determine if x - c is a factor of the given polynomial function.

2x^6 - 18x^4 + x^2 - 9; x + 3

Change 3 to - 3. Plug into function.

2(-3)^6 - 18(-3)^4 + (-9)^2 - 9 you've put -9 instead of -3 in the third term here

2(729) - 18(81) + 81 - 9

1458 - 1458 + 72

0 + 72

72

The number 72 is not zero. So, x + 3 is not a factor of the polynomial.

Yes?

 

[mathdad]

Thank you. It is just a typo. The result is 0. So, x + 3 is a factor. I did not use synthetic division because it is not easy to express using the keyboard.