factorize x^4-2x^3-7x^2+8x+12 plzzz fast
Answers
Answered by
0
❤️HELLO!!❤️
Therefore, three zeros are −
1,
2 and −2
andfourth zero would be 12−1⋅2⋅−2=3
. Let us check it.
If a=
3 then P(x)
=1⋅34−2⋅33−7⋅32+8⋅3+12
=81−54-63+24+12=0
Answered by
0
Answer:
x⁴-2x³-7x²+8x+12
= x⁴-3x³+x³-3x²-4x²+12x-4x+12
= x³(x-3)+x²(x-3)-4x(x-3)-4(x-3)
= (x-3)(x³+2x²-x²-2x-2x-4)
= (x-3)[x²(x+2)-x(x+2)-2(x+2)]
= (x-3)(x+2)(x²-x-2)
= (x-3)(x+2)(x²+x-2x-2)
= (x-3)(x+2)[x(x+1)-2(x+1)]
= (x-3)(x+2)(x+1)(x-2) Ans.
Step-by-step explanation:
HOPE THIS HELPS U.
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