Question

The equation x2+px−35=0 has one root that is equal to 7. Find the other root and the value of the coefficient p.

Answer 1

For this case we have the following polynomial:
x2 + px-35 = 0
We can factor the polynomial.
Rewriting we have:
(x-7) * (x + a) = 0
The value of a is given by:
-7 * a = -35
a = 35/7
a = 5
Substituting we have:
(x-7) * (x + 5) = 0
Therefore, the value of p is:
p = -7 + 5
p = -2
Answer:
the other root is:
x = -5
The value of the coefficient is:
p = -2