Question

x² +8x +15 by middle term spliting​

Answer 1

Answer:

Hey, mate.

Here is your answer.

Step-by-step explanation:

x^2+8x +15

=x^2 + 5x +3x+ 15

=x(x+5) +3(x+5)

=(x+5)(x+3)

Hope it is helpful.

Answer 2

Answer:

(x + 5)(x + 3)

Solution:

The given quadratic polynomial is :

x² + 8x + 15

We need to factorize the given quadratic polynomial by middle term splitting method.

Working rule :

★ Write the given quadratic polynomial in its standar form ( ie ; ax² + bx + c ).

★ Split the middle term of the quadratic polynomial in such a way that the product of its parts is equal to the product of the first term and the last term .

Thus,

=> x² + 8x + 15

=> x² + 5x + 3x + 15

=> x(x + 5) + 3(x + 5)

=> (x + 5)(x + 3)

Hence,

The required answer is :

(x + 5)(x + 3)