Question

if x=2 is a root of the polynomial f(x)=2x^3+ 6x^2+5x+m find the value of m





please solve this fast​

Answer 1

Answer:

m = -50

Step-by-step explanation:

Given :

x = 2 is a root of the polynomial f(x) = 2x³ + 6x² + 5x + m

To find :

the value of m

Solution :

If 'a' is a zero of the polynomial p(x), then p(a) = 0

So, as x = 2 is a root of the polynomial,

f(2) = 0

Put x = 2,

2(2)³ + 6(2)² + 5(2) + m = 0

2(8) + 6(4) + 10 + m = 0

16 + 24 + 10 + m = 0

40 + 10 + m = 0

50 + m = 0

m = –50

Therefore, the value of m is -50.