Question

Find a quadratic polynomial,the sum and product of whose zeroes is 4 and 1 respectively

Answer 1

Answer:

x² - 5x + 4

Step-by-step explanation:

Answer is in the attachment with complete steps.

Answer 2

Answer:

x² + 4x + 1

step by step explanation:

we have given that,

sun of zeros = alpha + beta = -b/a = 4/1

and, product of Zeroes = c/a = 1/1

therefore,

a = 1, -b = 4 and c = 1

or, a = 1, b = 4 and c = 1

hence, the standard form of quadratic equation is ax² + bx + c

So, the quadratic polynomial equation will be

x² + 4x + 1