Question

Factor x3 – 7x2 – 5x + 35 by grouping. What is the resulting expression?

Answer 1

x^3-7x^2-5x+35

= x^2(x-7) - 5 (x-7) now by definition

=(x^2-5)(x-7)

hope this helps

Answer 2

Answer: Our final factorized form will be

`(x-\sqrt5)(x+\sqrt5)(x-7)`

Explanation:

Since we have given that

`x^3-7x^2-5x+35`

We need to factorize the expression by grouping :

`x^3-7x^2-5x+35\\\\=x^2(x-7)-5(x-7)\\\\=(x^2-5)(x-7)`

Since we know that

`a^2-b^2=(a+b)(a-b)`

so,

`x^2-5=(x-\sqrt5)(x+\sqrt5)`

So, our final factorized form will be

`(x-\sqrt5)(x+\sqrt5)(x-7)`