Question

Find a quadratic polynomial whose zeroes are ± √/

Answer 1

Answer:

How do you find a quadratic polynomial whose zeroes are given?

Let the zeroes of the quadratic polynomial be α=1,β=−3.

Then, α+β=1+(−3)=−2.

αβ=1×(−3)=−3.

Sum of zeroes =α+β=−2.

Product of zeroes =αβ=−3.

Then, the quadratic polynomial =x2−( sum of zeroes )x+ product of zeroes =x2−(−2)x+(−3)=x2+2x−3.

Sum of zeroes =α+β=1+(−3)=−2 or.

=− Coefficient of x2 Coefficient of x​=−1(2)​=−2.

Step-by-step explanation: