Question

factorise by factor theoram
x³+9x²+23x+15​

Answer 1

Step-by-step explanation:

x3 – 9x2 + 23x – 15

= x3−x2−8x2+8x+15x−15

= x2(x−1)−8x(x−1)+15(x−1)

= (x−1)(x2−8x+15)

= (x−1)(x2−5x−3x+15)

= (x−1)( x(x−5) −3(x−5) )

= (x−1)(x−5)(x−3)

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