Question

if 1 is a zero of the polynomial p(x)=3x2+5x+a, then find the value of a

Answer 1

Answer:

a=-8

Step-by-step explanation:

Given equation: p(x)=3x2+5x+a

Given: x=1 is zero of the polynomial which means x=1 satisfies the given polynomial 3x2+5x+a .

Solution:

Since it's one of the zeroes is given , the solution x=1 satisfies the given polynomial and hence it can be equated with zero .

3x2+5x+a=0

Now putting x=1 in the equation , we will get :

3*1*1+5*1+a=0

Now solving the equation after puting the values :

3*1*1+5*1+a=0

3+5+a=0

8+a=0

a=-8