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Resolve each of the following quadratic ...

Resolve each of the following quadratic trinomials into factors:
(1) `7x-6x^2+20`
(2) `3x^2+22 x+35`
(3)`12 x^2-17 x y+6y^2`

Text Solution

Verified by Experts

By using mid-term splitting:
(1) `7x-6x^2+20`
`=6x^2-7x-20`
`=6x^2-15x+8x-20`
`=3x(2x-5)+4(2x-5)`
`=(3x+4)(2x-5)`

(2) `3x^2+22 x+35`
`=3x^2+15x+7x+35`
`=3x(x+5)+7(x+5)`
`=(3x+7)(x+5)`

(3)`12 x^2-17xy+6y^2`
`=12x^2-9xy-8xy+6y^2`
`=3x(4x-3y)-2y(4x-3y)`
`=(3x-2y)(4x-3y)`
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