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4 years ago

Two solutions of the polynomial equation are given. Use synthetic division to find any remaining solutions.

Mathematics

1 answer:

liubo4ka [24]4 years ago

8 0

Answer:

The remaining solutions are -7 and 3.

Step-by-step explanation:

The synthetic division is shown in the attachment. After dividing the first two found factors from the polynomial, the remaining quadratic is ...

x^2 +4x -21 = 0

Its rational roots will be factors of -21, and the sum of their opposites will be 4. Knowing that 21 = 3·7, we can guess that the remaining roots are -7 and 3. The synthetic division confirms that. (A graph also confirms it.)

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