Question

7. If a and B are the zeros of the polynomial p(x) = 3x?-12x +15, find the value of a²+B² ​

Answer 1

Answer:

Step-by-step explanation:let sum of the zeroes = a+b = - b/a

Then, let product of the zeroes= a×b =c/a

Now a+b = -(-12) /3 .....1

= a+ b = 4

Now a×b =-15/3

= a×b= -5

Now take a = 4-b

So, 4-b × b = 5

4b - b^2 = 5

b² - 4b -5

b² -5b + b -5

b(b+1) -5(b+1)

(b-5) (b+1)

So, b= 5

Now put it in 1

a +5 =4

a = -1

Now,

(a²+b²) =(-1²+5²)

Answer is 26