Question

Use the table to identify the values of p and q that should be used to factor x^2+9x-10 as (x+p)(x+q)

Answer 1

x^2 + 9x -10 = (x -1)(x +10) = (x +(-1)) (x + 10)
p = -1 and q  = 10
answer is A.

Answer 2

Answer with explanation:

$\rightarrow x^2+9 x-10\\\\=x^2+10 x-x-10\\\\= x\times (x+10)-1 \times (x+10)\\\\=(x-1)(x+10)$

From the table

Sum of term which contains coefficient of , x =9=-1+10

Constant term = -10= -1 × 10

⇒ (x+p)(x+q)=(x-1)(x+10)

Comparing , L HS and R HS

p= -1

q= 10

Option A:→ -1 and 10