Find the polynomial function expressed in expanded form with:...?

Question

Leading Coefficient 2, and having zeros 3 and -4.

Answer 1

y=2(x-3)(x+4)
y=2x^2+2x-24

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Answer 2

i think the two have multiplicity 2? precise the surely factors are undemanding, particularly that (x-5)(x-5) = x^2 -10x + 25 is a polynomial with roots 5, multiplicity 2. Now you won't be in a position to have 3+2i ensue with multiplicity 2, because it is conjugate could prefer to additionally be a root. yet you will locate that the polynomial that has 3+/- 2i as roots is x^2-6x+13 subsequently your polynomial is (x^2-10x +25)(x^2-6x+13) as quickly as you're thinking the thank you to get the 2d polynomial, it is undemanding. you realize that the muse could prefer to be x = 3+2i, so do right here math to get a polynomial (x-3) = 2i (x-3)² = -4 x^2 - 6x +9 = -4 x² - 6x + 13= 0