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In this lesson, we will learn how to find the set of zeros of a quadratic, a cubic, or a higher-degree polynomial function.

Q1:

If the set of zeros of the function π ( π₯ ) = π₯ + π π₯ + 3 4 3 2 3 is { β 8 , 8 } , find the value of π .

Q2:

Find, by factoring, the zeros of the function π ( π₯ ) = π₯ + 2 π₯ β 3 5 2 .

Q3:

Find, by factoring, the zeros of the function π ( π¦ ) = π¦ + 8 π¦ + 7 2 .

Q4:

Find all the zeros of π ( π₯ ) = π₯ + 5 π₯ β 9 π₯ β 4 5 3 2 and state their multiplicities.

Q5:

Find the set of zeros of the function π ( π₯ ) = 1 3 ( π₯ β 4 ) .

Q6:

Find the set of zeros of the function π ( π₯ ) = ( π₯ β 8 ) ( π₯ + 1 0 ) 2 .

Q7:

Find the set of zeros of the function π ( π₯ ) = π₯ β 1 7 π₯ + 1 6 4 2 .

Q8:

The function π ( π₯ ) = π π₯ + 5 4 π₯ + 8 1 ο¨ ο¨ and the function π ( π₯ ) = π π₯ + 9 have the same set of zeros. Find π and the set of zeros.

Q9:

Find the set of zeros of the function π ( π₯ ) = π₯ β 1 π₯ β 4 2 .

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