Question

Using factor theorem show that (X + 3) is a factor of x4 + 2x3-2x2+2x-3

Answer 1

Answer:

Answer is -32

Step-by-step explanation:

x+3

x=-3

substitute the value in the  given equation

x power 4 +2x power 3-2x power 2 +2x-3

-3 ^4+2(-3)^3-2(-3)^2+2(-3)-3

3+2(-9)-2(3)+2(-3)-3

3-18-8-9

-32

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Answer 2

Given:-

Using factor theorem show that (X + 3) is a factor of x⁴ + 2x³ - 2x² + 2x - 3.

To Find:-

We can find this Answer by using Factor theorem. ( This To Find Roman is for you to understand more. So don't write this roman into your Notes).

Solution:-

$\:$f(x) = x⁴ + 2x³ - 2x² + 2x - 3

• x + 3
• x = - 3

Substitute the value in the Given Equation.

f(-3) = - 3⁴ + 2(- 3)³ - 2(- 3)² + 2(- 3) - 3

= - 81 + 2(- 27) - 2(- 6) + (- 1) - 3

= - 81 + (- 54) - 12 + (- 1) - 3

= - 136 - (- 15)

= - 121.

∴ Hence, the Answer is - 121.