What is the factorisation of 2x²-11x-40?
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For a polynomial of the form ax2+bx+c a x 2 + b x + c , rewrite the middle term as a sum of two terms whose product is a⋅c=2⋅−40=−80 a ⋅ c = 2 ⋅ - 40 = - 80 and whose sum is b=11 . Factor 11 11 out of 11x 11 x . Factor out the greatest common factor from each group.
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2x² - 11x - 40 = 2x² + 5x - 16x - 40 = x • ( 2x + 5 ) - 8( 2x + 5 ) = ( 2x + 5 ) • ( x - 8 )
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