Question

Check whether 2y*+3y^-7y+6 is a factor of y+3

Answer 1

QUESTION:

Check whether 2y*+3y^-7y+6 is a factor of y+3

(correct question)

$2 {y}^{3} + 3 {y}^{2} - 7y + 6$

ANSWER:

As (y+3) is a factor of given polynomial.

hence;

$y + 3 = 0 \\ y = - 3$

putting the value of y in polynomial.

$2 {( - 3)}^{3} + 3 {( - 3)}^{2} - 7( - 3) + 6 \\ \\ 2 \times ( - 27) + 3 \times 9 + 21 + 6 \\ - 54 + 27 + 21 + 6 \\ - 54 + 54 \\ = 0$

hence,

p(-3) = 0

so,

$(y + 3) \: is \: a \: factor \: of \: polynomial)$

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