find a quadratic polynomial whose one zero is 2-root3 and sum of zero is 4 - Maths - Polynomials

Question

find a quadratic polynomial whose one zero is 2-root3 and sum of
zero is 4

Ahana A · Accepted Answer

alpha = 2-root3
beta = ?
alpha + beta = 4
beta = 4 - (2-root 3)
= 2 +root 3
alpha *beta = 2+ root 3 * 2 -root 3
general form of a quadratic polinomial = x2 - (alpha
+beta )x + alpha * beta
= x2 - 4x + 1[ i think so ]