Factorise - 3x2-20x-63
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For a polynomial of the form ax2+bx+cax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=3⋅−63=−189a⋅c=3⋅-63=-189and whose sum is b=20b=202020 out of 20x20x.3x2+20(x)−633x2+20(x)-63Rewrite 2020 as −7-7 plus 27273x2+(−7+27)x−633x2+(-7+27)x-63Apply the distributive property.3x2+(−7x+27x)−633x2+(-7x+27x)-63Remove parentheses.3x2−7x+27x−633x2-7x+27x-63Factor out the greatest common factor from each group.Group the first two terms and the last two terms.(3x2−7x)+(27x−63)(3x2-7x)+(27x-63)Factor out the greatest common factor (GCF) from each group.x(3x−7)+9(3x−7)x(3x-7)+9(3x-7)Factor the polynomial by factoring out the greatest common factor, 3x−73x-7.(3x−7)(x+9)(3x-7)(x+9)x(3x−7)+9(3x−7)x(3x-7)+9(3x-7)Factor the polynomial by factoring out the greatest common factor, 3x−73x-7.(3x−7)(x+9)
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