Question

If a-b,a and a+b are zeros of polynomial f(x)=2xcube-6xsquare+5x-7,write the value of a

Answer 1

Answer:

given ,

a= 2 , b= -- 6 ,c= 5 ,d = --7

the zero are a , a - b ,a+ b

Step-by-step explanation:

use the formula of zeros of polynomial

a + ß + y = -b/ a

a - b = --(-6)/2

a - b= +6/2

a - b = 3

a = 3 + b. ( 1 )

now,

aßy = --d / a

a + b = --(-7)/2

a + b = 7/2

put 1 equation in this equation

3 + b + b = 7/2

3 + 2b = 7/2

2b = 7/2 -- 3

2b = 7 - 6 / 2

b = 1/2 * 1/2

b = 1/4. ( 2 )

put 2 in 1 equation

a = 3 + 1/4

a = 12 + 1 /4

a= 13 / 4

thank you