show work please Thank you Factor the expression of 22a 71z2

show work please

Thank you

Factor the expression of 22a 71z2 40z completely Given that the factored form can be expressed as A(Bx +C)(DX E), (Note that the plus signs above could be minus signs.) (Bx C) I (DX E

Solution

22x³-71x²+40x

22*40 =880

factored form of 880 =2*11*5*8

factored form of 880 =16*55

22x³-71x²+40x

=x(22x²-71x+40)

=x(22x²-55x-16x+40)

=x(11x(2x-5)-8(2x-5))

=x((2x-5)(11x-8))

=x(2x-5)(11x-8)

A=x

Bx+C=2x-5

Dx+E=11x-8