Question

if x = 1/2 root of the polynomial 5x^3 + x^2 - 4x + 5 then find the value of a

Answer 1

if 1/2 is the root then ,if we put that value in the polynomial then it would become zero

$5 { (\frac{1}{2}) }^{3} + { (\frac{1}{2}) }^{2} - 4 \times \frac{1}{2} + 5 = 0$

oh, wait ,where is a???????

Answer 2

Answer:

a=3.875

Step-by-step explanation:

x=1/2

p (x)=5x^3+x^2-4x+5

= 5(1/2)^3 + (1/2)^2 -4(1/2) + 5

= 5 (1/8) + (1/4) -2 + 5

= 5/8 + 1/4 +3

=5+2+24

8

=31

8

=3.875