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Resolve each of the following quadratic ...

Resolve each of the following quadratic trinomials into factors:
(1) `2x^2+5x+3`
(2) `2x^2-3x-2`
(3) `3x^2+10 x+3`
(4) `7x-6-2x^2`

Text Solution

Verified by Experts

By using mid-term splitting:
(1) `2x^2+5x+3`
`=2x^2+2x+3x+3`
`= 2x(x+1)+3(x+1)`
`=(2x+3)(x+1)`

(2) `2x^2−3x−2`
`=2x^2−4x+x−2`
`=2x(x−2)+1(x−2)`
`=(x−2)(2x+1)`

(3) `3x^2+10x+3`
`=3x^2+9x+x+3`
`=3x(x+3)+1(x+3)`
`=(3x+1)(x+3)`

(4) `7x-6-2x^2`
`=-2x^2+7x-6`
`=-2x^2+4x+3x–6`
`=-2x(x–2)+3(x–2)`
`=(x–2)(3–2x)`
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