Question

Polynomial


`(3x + 2) {}^(7) * (x - 1) {}^(7)`
is written in standard form.


What is the coefficient with x in that form?​

Answer 1

Explanation:

`(3x + 2) {}^(7) * (x - 1) {}^(7)`

Coefficient of x is 3

It is usually an integer that is multiplied by the variable and written next to it. The variables which do not have a number with them are assumed to be having 1 as their coefficient. For example, in the expression 3x, 3 is the coefficient of x but in the expression x2 + 3, 1 is the coefficient of x2.

`(3x + 2) {}^(7) * (x - 1) {}^(7)`

`= \left(2187 x^(7) + 10206 x^(6) + 20412 x^(5) + 22680 x^(4) + 15120 x^(3) + 6048 x^(2) + 1344 x + 128\right)\cdot \left(x^(7) - 7 x^(6) + 21 x^(5) - 35 x^(4) + 35 x^(3) - 21 x^(2) + 7 x - 1\right)=2187 x^(14) - 5103 x^(13) - 5103 x^(12) + 17577 x^(11) + 4347 x^(10) - 26649 x^(9) - 1869 x^(8) + 22931 x^(7) + 1246 x^(6) - 11844 x^(5) - 1288 x^(4) + 3472 x^(3) + 672 x^(2) - 448 x - 128`