The factor of 3x²-x-4 are
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Step-by-step explanation:
Use the sum-product pattern
3
2
−
−
4
3x^{2}{\color{#c92786}{-x}}-4
3x2−x−4
3
2
+
3
−
4
−
4
3x^{2}+{\color{#c92786}{3x}}{\color{#c92786}{-4x}}-4
3x2+3x−4x−4
2
Common factor from the two pairs
3
2
+
3
−
4
−
4
3x^{2}+3x-4x-4
3x2+3x−4x−4
3
(
+
1
)
−
4
(
+
1
)
3x(x+1)-4(x+1)
3x(x+1)−4(x+1)
3
Rewrite in factored form
3
(
+
1
)
−
4
(
+
1
)
3x(x+1)-4(x+1)
3x(x+1)−4(x+1)
(
3
−
4
)
(
+
1
)
(3x-4)(x+1)
(3x−4)(x+1)
Solution
(
3
−
4
)
(
+
1
)
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