Question

Factor: x^2 + 11xy - 26y^2

Answer 1

Hello.

(x + 2y) • (x - 13y) Step by step solution :Step 1 :Equation at the end of step 1 : ((x2) - 11xy) - (2•13y2) Step 2 :Trying to factor a multi variable polynomial : 2.1 Factoring x2 - 11xy - 26y2

Try to factor this multi-variable trinomial using trial and error

Found a factorization : (x + 2y)•(x - 13y)Final result : (x + 2y) • (x - 13y)

Have a nice day

Answer 2

Think of possible factors of 26. 2 and 13 are a prime example.

Factors of 26y^2 would then be 2y and 13 y.

Note that 13y - 2y = 11y.

Try these factors: (x -2y )(x + 13y )

Check them by multiplication. You must obtain x^2 + 11xy - 26y^2.