Question

(y² + 5y – 36) by (y + 9)​

Answer 1

Answer:

In the given polynomial y  

2

+5y−36,

The first term is y  

2

 and its coefficient is 1.

The middle term is 5y and its coefficient is 5.

The last term is a constant term −36.

Multiply the coefficient of the first term by the constant 1×(−36)=−36.

We now find the factor of −36 whose sum equals the coefficient of the middle term, which is 5 and then factorize the polynomial y  

2

+5y−36 as shown below:

 

y  

2

+5y−36

=y  

2

+9y−4y−36

=y(y+9)−4(y+9)

=(y+9)(y−4)

Hence, y  

2

+5y−36=(y+9)(y−4).

Step-by-step explanation:

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