Question

form a quadratic polynomial whose zeros are 4 and -1​

Answer 1

Answer:

Step-by-step explanation:

Zeroes are 4 and -1.

Sum of zeroes =-b/a

4+(-1)=-b/a

4-1=-b/a

3=-b/a

3=-b

b= -3

a=1

Product of zeroes =c/a

4×(-1)=c/a

-4=c/1

c=-4

Quadratic polynomial:ax^2+bx+c

=1x^2+(-3)x+(-4)

=x^2-3x-4

Answer 2

Solution

Let , zeroes of quadratic polynomial should be

a = 4

b = -1

We know quadratic polynomial is formed in the form of

zx² + sum of zeroes (x) + product of zeroes

sum of zeroes = a+b = 4-1 = 3

product of zeroes = ab = 4*(-1) = -4

Put value in equation

Answer

zx² + 3x - 4

z is constant