Question

I don't need the answer I NEED someone to explain this to me, I'm really struggling with this, and can someone walk me through this problem. The first number is x to the second power.

Factor the following polynomial completely
x^2-3x-10

Answer 1

I hope it will helps u

Explanation:

As given

x²-3x-10

Now according to the one of the rule of factorization ,

we have to find such two values whose product becomes equal to the

"product of first and last term " and if we sum those numbers it should be equal to the "middle term of it".

so such numbers are -5x and +2x

if we add or multiply them we get the above

as adding -5x+2x=-3x (middle term)

also multiplying -5x*2x=-10x² (product of 1st and last term)

so now , we can write as,

x²-3x-10

=x²-5x+2x-10

now making groups of 2 terms,

=(x²-5x)+(2x-10)

now common

=x(x-5)+2(x-5)

now common(x-5)

=(x-5)(x+2) This is the required factors.....