The complex zeros of f(x) = x4 + 1 For the function f(x) = x4 + 1:(a) Factor f into the product of two irreducible quadratics. (Hint: Complete the square by adding and subtracting 2x2.) (b) Find the zeros of f by finding the zeros of each irreducible quadratic.

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A: We have to find

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A: Given that the quadric from                            q= 30x21+(-5)x22+(-120)x1x2…

Q: If a and 3 are the roots of the quadratic 3r² – 4.x + 6 = 0, find the value of ( + )

A: We have to solve given problem:

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A:

Q: Find the quadratic polynomial if the zeroes of it are 2 and 1/3 respectively.

A: Find the quadratic polynomial

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A: Given is  f(x) =5x^5 -2x^4 -4x^3 +2x^2-9x-4

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A:

Q: Find the zeros of Q(x) = 5x - x² + 9 using the quadratic formula. Number of zeros: one

A: Given Quadratic formula is Q(x)=-x2+5x+9 Compare to ax2+bx+c=0 Here a=-1, b=5 and c=9.

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A: f(x)=x4+122x2+121we know -1=i

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A: given  x=-1+2(x+1)=2square both sides

Q: Consider the quadratic function in standard form:y=−3x2+ 6x+ 9.(a) Use the quadratic formula to…

A: Given. Y = -3x²+6x+9 Now. Above is a quadratic equation. X intercept is , Y(x) = 0

Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.