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2. Polynomials
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Q6 of 109 Page 3

Find all zeros of the polynomial it its two zeros are and .

We know that if is a zero of a polynomial then


Since and are zeros of Therefore and are factors of .


Now on dividing ⇒ to find other zeros.



By applying division algorithm, we have:


= ()


= ()


= {}


Hence, the zeros of the given polynomial are:


More from this chapter

All 109 →
4

Obtain all zeros of if one of its zeros is -2.

5

Obtain all zeros of the polynomial if two of its zeros are and .

7

What must be added to the polynomial so that the resulting polynomial is exactly divisible by ?

8

What must be subtracted from the polynomial so that the resulting polynomial is exactly divisible by ?

Questions · 109
2. Polynomials
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