Mitchell has a balance of $1,200 in his first state bank checking account. he deposits a $387.89 pay check, a $437.12 dividend check, and a personal check for $250 into his account. he wants to receive $400 in cash. how much will he gave in his account after the transaction

He would have 1875.01 in his account after the transaction
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(x - 2 + i)(x - 2 - i)(x - 1)x^3 -5x^2 + 9x - 5

Step-by-step explanation:

In order to have rational polynomial, it has to have 2 + i as third zero.

Polynomial in factored form:

(x - (2 - i))(x - (2 + i))(x - 1) =(x - 2 + i)(x - 2 - i)(x - 1)

Polynomial in standard form:

(x^2 - 2x - ix - 2x + 4 +2i + ix - 2i -i^2)(x - 1) =(x^2 - 4x + 4 + 1)(x - 1) =(x^2 - 4x + 5)(x - 1) =x^3 - x^2 - 4x^2 + 4x + 5x - 5 =x^3 -5x^2 + 9x - 5