Use the table below to identify the values of p and q that should be used to factor
x2 + 3x – 10 as (x + p)(x + q).
A.–1 and 10
B.1 and –10
C.–2 and 5
D.2 and –5

Use the table below to identify the values of p and q that should be used to factor x2 3x 10 as x px q A1 and 10 B1 and 10 C2 and 5 D2 and 5 class=

Respuesta :

for [tex]ax^2+bx+c[/tex] if a=1, then it can be factored into form (x+p)(x+q) where pq=c and q+p=b


in the given problem, a=1, b=3, c=-10

we want to find values of q and p such that qp=-10 and q+p=3

the values in the table are those that satisfy qp=-10

only 1 set satisfies the q+p==3 criteria, that is when p=-2 and q=5

so it factors to (x-2)(x+5)