$f(x)=x^3-2x^2+3x-6=x^2(x-2)+3(x-2)=(x-2)(x^2+3)\\\\i=\sqrt{-1}\to i^2=-1\\\\x^2+3=x^2-(-3)=x^2-3i^2=x^2-(\sqrt3)^2i^2)=x^2-(i\sqrt3)^2\\\\\text{use}\ a^2-b^2=(a-b)(a+b)\\\\\boxed{f(x)=(x-2)(x-i\sqrt3)(x+i\sqrt3)}$

6 0

4 years ago

10 times the quantity 9 minus a number x

Svetllana [295]

Answer:

$10 \times 9 - x \\ x = 10 \times 9 \\ x = 90$

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8 0

3 years ago

Read 2 more answers

Work our the surface area of this cylinder?

tankabanditka [31]

Answer:

$A=522.97\ \text{cm}^2$

Step-by-step explanation:

Given that,

The diameter of the cylinder, d = 8 cm

Radius, r = 4 cm

Height of the cylinder, h = 16.8 cm

We need to find the surface area of this cylinder. The formula for the surface area of the cylinder is given by :

$A=2\pi r^2+2\pi rh\\\\=2\pi r(r+h)\\\\=2\times \dfrac{22}{7}\times 4\times (4+16.8)\\\\=522.97\ \text{cm}^2$

So, the surface area of the cylinder is $522.97\ \text{cm}^2$

6 0

3 years ago