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Simplifying p[x] = x[x + -5][x + -2][x + 3] Multiply p * x px = x[x + -5][x + -2][x + 3] Reorder the terms: px = x[-5 + x][x + -2][x + 3] Reorder the terms: px = x[-5 + x][-2 + x][x + 3] Reorder the terms: px = x[-5 + x][-2 + x][3 + x] Multiply [-5 + x] * [-2 + x] px = x[-5[-2 + x] + x[-2 + x]][3 + x] px = x[[-2 * -5 + x * -5] + x[-2 + x]][3 + x] px = x[[10 + -5x] + x[-2 + x]][3 + x] px = x[10 + -5x + [-2 * x + x * x]][3 + x] px = x[10 + -5x + [-2x + x2]][3 + x] Combine like terms: -5x + -2x = -7x px = x[10 + -7x + x2][3 + x] Multiply [10 + -7x + x2] * [3 + x] px = x[10[3 + x] + -7x * [3 + x] + x2[3 + x]] px = x[[3 * 10 + x * 10] + -7x * [3 + x] + x2[3 + x]] px = x[[30 + 10x] + -7x * [3 + x] + x2[3 + x]] px = x[30 + 10x + [3 * -7x + x * -7x] + x2[3 + x]] px = x[30 + 10x + [-21x + -7x2] + x2[3 + x]] px = x[30 + 10x + -21x + -7x2 + [3 * x2 + x * x2]] px = x[30 + 10x + -21x + -7x2 + [3x2 + x3]] Combine like terms: 10x + -21x = -11x px = x[30 + -11x + -7x2 + 3x2 + x3] Combine like terms: -7x2 + 3x2 = -4x2 px = x[30 + -11x + -4x2 + x3] px = [30 * x + -11x * x + -4x2 * x + x3 * x] px = [30x + -11x2 + -4x3 + x4] Solving px = 30x + -11x2 + -4x3 + x4 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Divide each side by 'x'. p = 30 + -11x + -4x2 + x3 Simplifying p = 30 + -11x + -4x2 + x3
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