Question

state the type of p(x) =3x2 -5x2+9x+1​

Answer 1

Answer:

∴x

3

−3x

2

−9x−5=(x+1

2

)(x−5)

Step-by-step explanation:

P(x)=x

3

−3x

2

−9x−5

p(−1)=−1−3+9−5=0

∴−1 is the root of p(x)

x+1 divided p(x)

x+1)

x

3

−3x

3

−9x−5

(x

2

−4x−5

x

3

+x

2

−−

______________________

−4x

2

−9x

−4x

2

−4x

++

_____________________

−5x−5

−5x−5

_____________________

x

x

3

−3x

2

−9x−5=(x+1)(x

2

−4x−5)

=(x+1)(x

2

−4x+2

2

−2

2

−5)

=(x+1)(x

2

+4−4x−9)

=(x+1)[(x−2)

2

−3

2

]

=(x+1)(x−2+3)(x−2−3)

=(x+1)(x+1)(x−5)

∴x

3

−3x

2

−9x−5=(x+1

2

)(x−5)

Answer 2

Answer:

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