+441 What is the coefficient of x in (x^3 + x^2 + x + 1)(x^4 + 3x^3 + 4x^2 + 8x + 7)?
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What is the coefficient of x in (x^3 + x^2 + x + 1)(x^4 + 3x^3 + 4x^2 + 8x + 7)?
Every term in one is to be multiplied by every term in the other.
Consider only the pairs of terms that result in x with a coefficient.
(x3 + x2 + x + 1) • (x4 + 3x3 + 4x2 + 8x + 7) ==>> 7x
(x3 + x2 + x + 1) • (x4 + 3x3 + 4x2 + 8x + 7) ==>> 8x
total 15x
The coefficient of x is 15.
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