Question

If a and are the zeros of polynomial f(x)=x²+x-3, find the a polynomial whose zeros are a + 2 & B + 2.​

Answer 1

Answer:

x²+3x-1

Step-by-step explanation:

First to calculate a and b.

Since the zeros of any equation are x minus the roots of the equation, finding the roots of x²+x-3 will give the value of a and b.

=x²+x-3

By comparing, a=1, b=1 and c=-3.

x={-b±√(b²-4ac)}/2a

x=[-(1)±√{(1)²-4(1)(-3)}]/2(1)

Either. Or

x=(-1+√13)/2. x=(-1-√13)/2

Therefore a and b are x-{(-1+√13)/2} and x-{(-1-√13)/2}.

To find the other polynomial multiply a+2 with b+2.

Let the other polynomial be g(x).

g(x)=(a+2)(b+2)

g(x)=[x-{(-1+√13)/2}+2][x-{(-1-√13)/2}+2]

g(x)={x+(3+√13)/2}{x+(3-√13)/2}

g(x)=x{x+(3-√13)/2}+(3+√13)/2{x+(3+√13)/2}

g(x)=x²+3x-1

Please mark brainliest, I spent a lot of time on this problem.