Q If the zeroes of the polynomial x³-3x² + 5x-15 are j-2s, j.j+2s then find the values of j and s.
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- If the zeroes of the polynomial x³-3x² + 5x-15 are j-2s, j.j+2s then find the values of j and s.
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x 3 − 3 x 2 + 5 x − 15
Group the first two terms and the last two.
( x 3 − 3 x 2 ) + 5 x − 15
Factor the greatest common denominator (GCF) of each group.
x 2 ( x − 3 ) + 5 ( x − 3 )
Factor the polynomial by factoring out the greatest common denominator, x - 3
.
( x − 3 ) ( x 2 + 5 )
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