Divide (5x^2+13x-6)÷(x+3)

Math
(5×2+13x-6)÷(x+3)
Rewrite the division as a fraction.
5×2+13x-6x+3
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=5⋅-6=-30 and whose sum is b=13.
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Factor 13 out of 13x.
5×2+13(x)-6x+3
Rewrite 13 as -2 plus 15
5×2+(-2+15)x-6x+3
Apply the distributive property.
5×2-2x+15x-6x+3
5×2-2x+15x-6x+3
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(5×2-2x)+15x-6x+3
Factor out the greatest common factor (GCF) from each group.
x(5x-2)+3(5x-2)x+3
x(5x-2)+3(5x-2)x+3
Factor the polynomial by factoring out the greatest common factor, 5x-2.
(5x-2)(x+3)x+3
(5x-2)(x+3)x+3
Cancel the common factor of x+3.
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Cancel the common factor.
(5x-2)(x+3)x+3
Divide 5x-2 by 1.
5x-2
5x-2
Divide (5x^2+13x-6)÷(x+3)

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