Divide (11x^2-82x+35)÷(x-7)

Math
(11×2-82x+35)÷(x-7)
Rewrite the division as a fraction.
11×2-82x+35x-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=11⋅35=385 and whose sum is b=-82.
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Factor -82 out of -82x.
11×2-82(x)+35x-7
Rewrite -82 as -5 plus -77
11×2+(-5-77)x+35x-7
Apply the distributive property.
11×2-5x-77x+35x-7
11×2-5x-77x+35x-7
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(11×2-5x)-77x+35x-7
Factor out the greatest common factor (GCF) from each group.
x(11x-5)-7(11x-5)x-7
x(11x-5)-7(11x-5)x-7
Factor the polynomial by factoring out the greatest common factor, 11x-5.
(11x-5)(x-7)x-7
(11x-5)(x-7)x-7
Cancel the common factor of x-7.
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Cancel the common factor.
(11x-5)(x-7)x-7
Divide 11x-5 by 1.
11x-5
11x-5
Divide (11x^2-82x+35)÷(x-7)

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