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when the product (3x-2) (2x^2 + 7x-1) is found,
what is the coefficient of the linear term?

Sagot :

abidemiokin

The linear term is the term with a degree of 1, hence the coefficient of the linear term is -11

Given the functions (3x-2) (2x^2 + 7x-1)

Taking the product of the functions will give:

(3x-2) (2x^2 + 7x-1) = 3x(2x^2) + 3x(7x) + 3x - 4x^2 - 14x + 2

(3x-2) (2x^2 + 7x-1) = 6x^3+21x^2 -11x - 4x^2 + 2

(3x-2) (2x^2 + 7x-1) =6x^3+17x^2 - 11x + 2

The linear term is the term with a degree of 1, hence the coefficient of the linear term is -11

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