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Simplifying p(x) = 3(x + -7)(x + 5) Multiply p * x px = 3(x + -7)(x + 5) Reorder the terms: px = 3(-7 + x)(x + 5) Reorder the terms: px = 3(-7 + x)(5 + x) Multiply (-7 + x) * (5 + x) px = 3(-7(5 + x) + x(5 + x)) px = 3((5 * -7 + x * -7) + x(5 + x)) px = 3((-35 + -7x) + x(5 + x)) px = 3(-35 + -7x + (5 * x + x * x)) px = 3(-35 + -7x + (5x + x2)) Combine like terms: -7x + 5x = -2x px = 3(-35 + -2x + x2) px = (-35 * 3 + -2x * 3 + x2 * 3) px = (-105 + -6x + 3x2) Solving px = -105 + -6x + 3x2 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Divide each side by 'x'. p = -105x-1 + -6 + 3x Simplifying p = -105x-1 + -6 + 3x Reorder the terms: p = -6 + -105x-1 + 3x
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