Question

factorise= y square + Y - 30

Answer 1

Answer:

Step-by-step explanation:

$y^2+y-30\\\\=y^2+6y-5y-30\\\\=y(y+6)-5(y+6)\\\\=(y+6)(y-5)$

Therefore the factored form of $y^2+y-30$ is $(y+6)(y-5)$

Answer 2

Answer: The factors of the given quadratic equation are (Y-5) and (Y+6) and the possible values of Y are +5 and -6.

Step-by-step explanation:

The given quadratic equation can be solved as:

Y^2 + Y -30 = 0

So, on factorization of the given equation:

Y^2 + 6Y - 5Y - 30 = 0

or, Y ( Y+6) - 5( Y+6) = 0

or,( Y-5) ( Y+6) = 0

Therefore, the factors are (Y-5) and (Y+6).

Now, we can also solve the equation by finding the possible values of Y.

According to zero product rule, each of the factors also must be zero since their product is zero.

So, Y-5 = 0 ; Y= +5

Also, Y+6 = 0 ; Y= -6

Therefore, the possible values of Y are +5 and -6.