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seropon [69]
3 years ago
8

If s(x) = 2x2 + 3x - 4, and t(x) = x + 4 then s(x) · t(x) =

Mathematics
1 answer:
Paladinen [302]3 years ago
7 0

Answer:

\large\boxed{s(x)\cdot t(x)=2x^3+11x^2+8x-16}

Step-by-step explanation:

s(x)=2x^2+3x-4,\ t(x)=x+4\\\\s(x)\cdot t(x)\\\\\text{use the distributive property:}\ a(b+c)=ab+ac\\\\s(x)\cdot t(x)=(2x^2+3x-4)(x+4)\\\\=(2x^2+3x-4)(x)+(2x^2+3x-4)(4)\\\\=(2x^2)(x)+(3x)(x)+(-4)(x)+(2x^2)(4)+(3x)(4)+(-4)(4)\\\\=2x^3+3x^2-4x+8x^2+12x-16\\\\\text{combine like terms}\\\\=2x^3+(3x^2+8x^2)+(-4x+12x)-16\\\\=2x^3+11x^2+8x-16

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4 years ago
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4 0
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