Question

How do you factory 

xy^2+x^2y^3 
and 
x^2-5x+6?

Answer 1

1).

The polynomial is xy² + x²y³.

Common out xy² from the polynomial.

= xy²(1 + xy).

Therefore, the factor form of xy² + x²y³ is xy²(1 + xy).

2).

The polynomial is x² - 5x + 6.

By factoring by grouping.

= x² - 3x - 2x + 6

= x(x - 3) - 2(x - 3)

= (x - 3)(x - 2).

Therefore, the factor form of x² - 5x + 6 is (x - 3)(x - 2).