Question

Use the table to identify the values of p and q that should be used to factor2 +3x-10 as (x+ p)(x q).

Answer 1

we are given

$x^2 +3x -10$

it's factor as (x+p)(x+q)

so, we can write as

$x^2 +3x -10= (x+p)(x+q)$

we can simplify it

$x^2 +3x -10= x^2 +(p+q)x +pq$

now, we can compare both sides

coefficient of x must be equal

so, we get

$3= (p+q)$

$(p+q)=3$

now, we can look at the table where p+q =3

so, we can see that when p+q=3 .... then p=-2 and q=5

so, option-A.......Answer