Divide (12x^2+11x+2)÷(4x+1)

Math
(12×2+11x+2)÷(4x+1)
Rewrite the division as a fraction.
12×2+11x+24x+1
Factor by grouping.
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For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=12⋅2=24 and whose sum is b=11.
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Factor 11 out of 11x.
12×2+11(x)+24x+1
Rewrite 11 as 3 plus 8
12×2+(3+8)x+24x+1
Apply the distributive property.
12×2+3x+8x+24x+1
12×2+3x+8x+24x+1
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(12×2+3x)+8x+24x+1
Factor out the greatest common factor (GCF) from each group.
3x(4x+1)+2(4x+1)4x+1
3x(4x+1)+2(4x+1)4x+1
Factor the polynomial by factoring out the greatest common factor, 4x+1.
(4x+1)(3x+2)4x+1
(4x+1)(3x+2)4x+1
Cancel the common factor of 4x+1.
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Cancel the common factor.
(4x+1)(3x+2)4x+1
Divide 3x+2 by 1.
3x+2
3x+2
Divide (12x^2+11x+2)÷(4x+1)

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