p(x)=x^+2x+1 plzz answer me
Answers
p(-1) is the answer
because the p(X)=0 in that condition.
Even it's a quadratic equation delta= b^2 -4ac =0
so both roots or zeros are equal to -1
using the formula
-b±√(b^2 -4ac) / 2a
we get the answer
The answer is (x+1)(x+1)
Step-by-step explanation:
To solve the quadratic equation x²+2x+1
we know that p(x) = x² - (α+β)x+αβ
Sum of the zeros is α+β
From the given equation,
The Sum of the zeros is the coefficient of x
Sum = 2
The Product of the zeros is the constant value
Product = 1
The two numbers which are added, we have to get 2
The two numbers which are multiplied, we have to get 1
Let, the two numbers be x and y
x+y =2
xy=1
x=1 and y=1
Apply these values in the given equation
x and y are the coefficients of x
==>x²+2x+1
The equation will become
==>x²+1x+1x+1
Divided into two halves and taking the values as common
==> x(x+1) +1(x+1)
The factors of the polynomial is (x+1)(x+1)
x=-1 and x=-1