Question

Find all the zeroes of x3-10x2+31x-30 if 2 is a zero of it.

Answer 1

Answer:

Hence the zeroes are 2, 3 and 5.

Step-by-step explanation:

2 is a zero.

Therefore, (x-2) is a factor or x3-10x2+31x-30.

Then perform long division, divide x3-10x2+31x-30 by (x-2).

We get the quotient as:

x2-8x+15

= x2-5x-3x+15  (splitting the middle term)

= x(x-5) -3(x-5)

= (x-3)(x-5).

Therefore, factors of x3-10x2+31x-30 are (x-2), (x-3) and (x-5).

Hence the zeroes are 2, 3 and 5.

Answer 2

Answer:

Step-by-step explanation:

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