Question

(x-5)^2 - (5x-25) - 24





PLzzz solve it​

Answer 1

Answer:

lt can be solved by following method:-)

Firstly we will open it using algebraic identity as

${(x - 5)}^{2} - (5x - 25) - 24 \\ = {x}^{2} + 25 - 10x - 5x + 25 - 24 \\ = {x}^{2} - 15x + 26$

Now we can make factors of this by the method of splitting the middle term

As:-)

${x}^{2} - 13x - 2x + 26 \\ = x(x - 13) - 2(x - 13) \\ = (x - 13)(x - 2)$

So the roots of the given polynomial will be 13 and 2 respectively.