Divide (6x^2+43x+7)/(x+7)

Math
6×2+43x+7x+7
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=6⋅7=42 and whose sum is b=43.
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Factor 43 out of 43x.
6×2+43(x)+7x+7
Rewrite 43 as 1 plus 42
6×2+(1+42)x+7x+7
Apply the distributive property.
6×2+1x+42x+7x+7
Multiply x by 1.
6×2+x+42x+7x+7
6×2+x+42x+7x+7
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(6×2+x)+42x+7x+7
Factor out the greatest common factor (GCF) from each group.
x(6x+1)+7(6x+1)x+7
x(6x+1)+7(6x+1)x+7
Factor the polynomial by factoring out the greatest common factor, 6x+1.
(6x+1)(x+7)x+7
(6x+1)(x+7)x+7
Cancel the common factor of x+7.
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Cancel the common factor.
(6x+1)(x+7)x+7
Divide 6x+1 by 1.
6x+1
6x+1
Divide (6x^2+43x+7)/(x+7)

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