Math, asked by reenanegi2901, 1 year ago

factorise -4x^2 +15x+14​

Answers

Answered by ahmad2098
4

Answer:

-4x2+15x+14

= 4x2+(14+2)x+14

= 4x2 +14x + 2x + 14

= 2x ( 2x +7 ) + 2 ( x+7)

= ( 2x + 2 ) ( 2x + 7 )

Answered by Anonymous
32

\huge\mathfrak\red{\:\:\:Question\:\:\:}

ғᴀᴄᴛᴏʀɪsᴇ \bold{-4x}^{2} +15x+14

⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀ ⠀

\huge\mathfrak\green{\:\:\: Solution\:\:\:}

⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀ ⠀

\bold{-4x}^{2} +15x+14

ᴍᴜʟᴛɪᴘʟʏ ᴡʜᴏʟᴇ ᴇǫᴜᴀᴛɪᴏɴ ʙʏ -

⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀ ⠀

\bold-({-4x}^{2} +15x+14)

\bold{4x}^{2} - ( 7 + 8 )x - 14

\bold{4x}^{2} - 7x - 8x - 14

\bold{4x}^{2} - 8x -  7x - 14

\bold 4x( x - 2) - 7(x - 2)

⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀ ⠀

\boxed{\:\:(x - 2 )(4x - 7)\:\:}

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