2 years ago

Simplify 9+2i ------- 1-4i

Mathematics

1 answer:

kondor19780726 [428]2 years ago

7 0

1 38i
--- + ----
17 17

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Use synthetic division to show that the number given to the right of the equation is a solution of the equation. Then solve the

AysviL [449]

Answer:

$x = 2 \: or \: x = - 2 \: or \: x = - \frac{1}{2}$

Step-by-step explanation:

The given polynomial equation is

$2 {x}^{3} + {x}^{2} - 8x - 4 = 0$

We perform the synthetic division as shown in the attachment by dividing by x-2.

This gives a remainder of 0 and a quotient of

$2 {x}^{2} + 5x + 2$

This means the polynomial equation becomes:

$(x - 2)(2 {x}^{2} + 5x + 2) = 0$

We factor the quadratic term by splitting the middle term;

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Collect common factors again:

$(x - 2)((x+ 2)(2x + 1) = 0$

The solution is:

$x = 2 \: or \: x = - 2 \: or \: x = - \frac{1}{2}$

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Step-by-step explanation:

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