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Multiply (x – 4)(x^2 + 6x – 5) x^3 + 2x^2 – 29^x + 20 x^3 – 5x^2 – 14^x + 20 x^3 + 6x2 – 13^x + 20 x^3 + 10x^2 – 19x + 20
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Multiply everything in the first parenthesis by everything in the second parenthesis. Then group terms with the same exponent for x.
= x^3 + 2x^2 – 29^x + 20
So x is the first thing in the first parenthesis, so multiplying it gives x^3+6x^2-5x
-4 is the second thing. Multiplying it gives -4x^2 -24x - 20
Adding those together gives x^3+2x^2-29x+20 (I made a mistake on the second step. It's +20 not -20)
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\[(x-4)(x^2+6x-5)\]Distribute x across the polynomial, and add to the distribution of -4 across the polynomial. \[(x^3+6x^2-5x)+(-4x^2-24x+20)\]Simply:\[x^3+2x^2-29x+20\]
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