Question

if the sum of zero is-1 the product is 7 than find the quadratic polynomial
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Answer 1

Answer:

Step-by-step explanation:

the sum of zeros =-1

α+β=-b÷a

-1=-b÷a

b=1

αβ=c÷a

7=c÷a

c=7

The polynomial is

ax²+bx+c=0

x²+x+7=0

Answer 2

alpha + beta = -1

alpha x product = 7

Quadratic polynomial = kx^2 - ( alpha + beta )x + alpha x beta

0 = k[ x^2 -(-1)x + 7 ]

0 = k [ x^2 + x + 7 ]

x^2 + x + 7 = 0