f(x) = (x-2)(x-5)(x-√3)(x+√3)
Let's start by multiplying the first two binomials:
f(x) = x^2 - 7x + 10(x-√3)(x+√3)
Now multiply the second binomials:
f(x) = (x^2 - 7x + 10)(x^2 - 3)
Now multiply the two polynomials:
f(x) = x^4 - 7x^3 + 10x^2 - 3x^2 + 21x - 30
Now combine like terms:
f(x) = x^4 - 7x^3 + 7x^2 + 21x - 30
