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Category: Algebra

Darren-McFaddden-of-Arkansas-placed-second-overall-in-the-Heisman-Trophy-voting-Players-are-given-3-points-for-every-first-place-vote-2-points-for-every-second-place-vote-and-1-point-for-every-thi

Question Number 125915 by john_santu last updated on 15/Dec/20 $${Darren}\:{McFaddden}\:{of}\:{Arkansas} \\ $$$${placed}\:{second}\:{overall}\:{in}\:{the}\:{Heisman} \\ $$$${Trophy}\:{voting}.\:{Players}\:{are}\:{given} \\ $$$$\mathrm{3}\:{points}\:{for}\:{every}\:{first}−{place}\:{vote}\: \\ $$$$,\:\mathrm{2}\:{points}\:{for}\:{every}\:{second}−{place}\:{vote} \\ $$$${and}\:\mathrm{1}\:{point}\:{for}\:{every}\:{third}−{place}\:{vote}. \\ $$$${McFadden}\:{received}\:\mathrm{490}\:{total}\:{votes} \\ $$$${for}\:{first}\:,\:{second}\:{and}\:{third}\:{place}\: \\…

Factorize-x-2-1-a-bx-c-

Question Number 191436 by MATHEMATICSAM last updated on 24/Apr/23 $$\mathrm{Factorize} \\ $$$$\boldsymbol{{x}}^{\mathrm{2}} \:+\:\frac{\mathrm{1}}{\boldsymbol{{a}}}\:\left(\boldsymbol{{bx}}\:+\:\boldsymbol{{c}}\right) \\ $$ Answered by Matica last updated on 24/Apr/23 $${x}^{\mathrm{2}} +\frac{{bx}+{c}}{{a}}\:=\:{x}^{\mathrm{2}} +\frac{{b}}{{a}}{x}\:+\:\frac{{c}}{{a}}\:…