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

Answer:

Correct option is:

A. -1 and 10

Step-by-step explanation:

If a,b are the roots of Ax²+Bx+C=0

then, a+b= -B/A

The polynomial (x+ p)(x+q) has roots -p and -q

x²+ 9x +10= (x+ p)(x+q)

i.e. -p and -q are roots of x²+ 9x +10

Hence, -p-q= -9  

i.e. p+q=9

Hence, The correct value of pa and q are:

p= -1 and q= 10

i.e. Correct option is:

A. -1 and 10

Answer 2

The answer is (x + 10)(x - 1)