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Simplifying h(x) = (x + 10)(x2 + -100) Multiply h * x hx = (x + 10)(x2 + -100) Reorder the terms: hx = (10 + x)(x2 + -100) Reorder the terms: hx = (10 + x)(-100 + x2) Multiply (10 + x) * (-100 + x2) hx = (10(-100 + x2) + x(-100 + x2)) hx = ((-100 * 10 + x2 * 10) + x(-100 + x2)) hx = ((-1000 + 10x2) + x(-100 + x2)) hx = (-1000 + 10x2 + (-100 * x + x2 * x)) hx = (-1000 + 10x2 + (-100x + x3)) Reorder the terms: hx = (-1000 + -100x + 10x2 + x3) hx = (-1000 + -100x + 10x2 + x3) Solving hx = -1000 + -100x + 10x2 + x3 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Divide each side by 'x'. h = -1000x-1 + -100 + 10x + x2 Simplifying h = -1000x-1 + -100 + 10x + x2 Reorder the terms: h = -100 + -1000x-1 + 10x + x2
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