What is the factored form of the function f(x)=x^3+8x^2+5x−50?

the factors of  f(x)=x^3+8x^2+5x-50 are (x-2)(x+5)(x+5)

Step-by-step explanation:

We need to factorise the function

If a number is a factor of this function than it must be completely divisible by last co-efficient. Our last co-efficient is -50

Checking few numbers:

So, f(2)=0 which means x-2 is a factor of the given function. Now we will perform long division of by (x-2) to find other factors

The long division is shown in figure attached.

After long division we get:

The equation can be further simplified as: (x+5)(x+5) or (x+5)^2

So, the factors of  f(x)=x^3+8x^2+5x-50 are (x-2)(x+5)(x+5)

b

step-by-step explanation:

∠cbe and ∠deb are same-side interior angles.

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