Question

Using factor theorem, factorize each of the following polynomials: (i) x 3 – 6x2 + 3x + 10 (ii) 2y3 – 5y2 – 19y + 42

Answer 1

Answer:

Refer the attachment...................

Answer 2

Answer:

Step-by-step explanation:

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

by using synthetic division

= 2[2 -5 -19 +42]

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

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