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apparnaraj
@apparnaraj
July 2021
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Factorize
6x⁴-5x³-38x²-5x+6
Answers & Comments
HappiestWriter012
Verified answer
Hey there! Thanks for the awesome questions.Looks complicated,but it is easy.
6x⁴-5x³-38x²-5x+6
=6x⁴+12x³-17x³-34x²-4x²-8x+3x+6
=(6x⁴+12x³)-(17x³+34x²)-(4x²+8x)+(3x+6)
=6x³(x+2)-17x²(x+2)-4x(x+2)+3(x+2)
=(x+2)(6x³-17x²-4x+3)
=(x+2)(6x³-18x²+x²-3x-x+3)
=(x+2)[(6x³-18x²)+(x²-3x)-(x-3)]
=(x+2)[(6x²(x-3)+x(x-3)-(x-3)]
=(x+2)(x-3)(6x²+x-1)
=(x+ 2)(x+3)(3x-1)(2x+1)
Hope helped! ^^
4 votes
Thanks 8
apparnaraj
Thanq
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Answers & Comments
Verified answer
Hey there! Thanks for the awesome questions.Looks complicated,but it is easy.6x⁴-5x³-38x²-5x+6
=6x⁴+12x³-17x³-34x²-4x²-8x+3x+6
=(6x⁴+12x³)-(17x³+34x²)-(4x²+8x)+(3x+6)
=6x³(x+2)-17x²(x+2)-4x(x+2)+3(x+2)
=(x+2)(6x³-17x²-4x+3)
=(x+2)(6x³-18x²+x²-3x-x+3)
=(x+2)[(6x³-18x²)+(x²-3x)-(x-3)]
=(x+2)[(6x²(x-3)+x(x-3)-(x-3)]
=(x+2)(x-3)(6x²+x-1)
=(x+ 2)(x+3)(3x-1)(2x+1)
Hope helped! ^^