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

Use the table to identify the values of p and q that should be used to factor2 +3x-example-1

2 Answers

2 votes

Answer:

is the B: -1 and 10

Explanation:

aplex :)

User Ataraxic
by
5.8k points
5 votes

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


User Cercerilla
by
5.5k points
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