y³ − 2y² − 29y − 42

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Solution

Let be the given polynomial.

Now, putting we get

Therefore, is a factor of polynomial f(y).

Now,

Hence are the factors of polynomial f(y).

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Using factor theorem, factorize each of the following polynomials

$y^{3} - 2 y^{2}$ - 29y -42

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5 y^{3} + 2 y^{2} - y + 5

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