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.

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