Question

factorise -4x^2 +15x+14​

Answer 1

Answer:

-4x2+15x+14

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

= 4x2 +14x + 2x + 14

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

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

Answer 2

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

ғᴀᴄᴛᴏʀɪsᴇ $\bold{-4x}^{2}$ +15x+14

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

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

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

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

ᴍᴜʟᴛɪᴘʟʏ ᴡʜᴏʟᴇ ᴇǫᴜᴀᴛɪᴏɴ ʙʏ -

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

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

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

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

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

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

⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀ ⠀

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