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Simplifying p(x) = (7x5 + 3x3 + -50)(9x8 + -8x) Multiply p * x px = (7x5 + 3x3 + -50)(9x8 + -8x) Reorder the terms: px = (-50 + 3x3 + 7x5)(9x8 + -8x) Reorder the terms: px = (-50 + 3x3 + 7x5)(-8x + 9x8) Multiply (-50 + 3x3 + 7x5) * (-8x + 9x8) px = (-50(-8x + 9x8) + 3x3 * (-8x + 9x8) + 7x5 * (-8x + 9x8)) px = ((-8x * -50 + 9x8 * -50) + 3x3 * (-8x + 9x8) + 7x5 * (-8x + 9x8)) px = ((400x + -450x8) + 3x3 * (-8x + 9x8) + 7x5 * (-8x + 9x8)) px = (400x + -450x8 + (-8x * 3x3 + 9x8 * 3x3) + 7x5 * (-8x + 9x8)) px = (400x + -450x8 + (-24x4 + 27x11) + 7x5 * (-8x + 9x8)) px = (400x + -450x8 + -24x4 + 27x11 + (-8x * 7x5 + 9x8 * 7x5)) px = (400x + -450x8 + -24x4 + 27x11 + (-56x6 + 63x13)) Reorder the terms: px = (400x + -24x4 + -56x6 + -450x8 + 27x11 + 63x13) px = (400x + -24x4 + -56x6 + -450x8 + 27x11 + 63x13) Solving px = 400x + -24x4 + -56x6 + -450x8 + 27x11 + 63x13 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Divide each side by 'x'. p = 400 + -24x3 + -56x5 + -450x7 + 27x10 + 63x12 Simplifying p = 400 + -24x3 + -56x5 + -450x7 + 27x10 + 63x12
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