Question

Write plynomial if zeros are (3+root2) and (3-root 2)

Answer 1

Answer:let alpha be 3 + root 2 and let beta be 3 - root 2.

Step-by-step explanation:

Hence .......

Alpha + beta = -b÷a

So

(3-root2)+(3+root2)= -b÷a

3+3÷1= -b÷a

Hence .....

B= -6 and A= 1

Now .

Alpha × beta = C÷A

So.

Putting values of alpha and beta:-

(3+root2)×(3-root2)=C÷A

{Using identity:-(a-b)×(a+b)=a×a-b×b}

3×3-root2×root2÷1=C÷A

6-2÷1=C÷A

4÷1=C÷A

Hence.....C=4

Therefore the polynomial will be:-

X × X +(-6)X + 4 = 0

=> ..............X×X - 6X +4 = 0 ....................