Question

Using factor theorem, factorize each of the following polynomials:

2y3 – 5y2 – 19y + 42

Answer 1

iam not sure

2y cube -5y sq. -19y+2

by using synthetic division

= 2[2 -5 -19 +42]

--->[0 4 -2 -42]

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---->2 -1 -21 00

i.e. = (x-2)(2x sq. -x -21)

= (2x sq +6x -7x - 21)(x-2)

=[ 2x(x+3)-7(x+3) ](x-2)

=(2x-7)(x+3)(x-2)

:. 2x-7=0 or x+3=0 or x-2=0

:. x=7/2 or x= -3 or x=2

Answer 2

Answer is above mentioned.