# Linear Algebra: Factoring, Real and Complex Zeroes

Not what you're looking for? Search our solutions OR ask your own Custom question.

1. Factor the following polynomial y = 3x4 â€” 22x3 + 31x2 + 40x â€”16

2. Find the real solutions of y = x3 + 8x2 + 1 lx â€” 20

3. Solve the equation in the complex number system. 10x2 + 6x +1= 0

4. Form a polynomial with real coefficients having the given degree and zeros. Degree: 5 Zeros: 1, multiplicity 3; 1 + i

5. Find the complex zeros of the polynomial function f (x) = x4 + 13x2 + 36

Â© BrainMass Inc. brainmass.com December 24, 2021, 4:46 pm ad1c9bdddfhttps://brainmass.com/math/linear-algebra/linear-algebra-factoring-real-complex-zeroes-6985

#### Solution Preview

Solution.

1. 3x^4-22x^3+31x^2+40x-16=(x+1)(3x-1)(x-4)^2

2. x^3+8x^2+11x-20=(x-1)(x^2+9x+20)=(x-1)(x+4)(x+5)

So there are three real roots x1=1,x2=-4 and x3=-5

3. ...

#### Solution Summary

Linear Algebra problems relating to Factoring, Real and Complex Zeroes are solved.

$2.49