Which of the following is a root of the polynomial x? – 4x + 13? O A. 3+ 4i O B. 2 – 3i O C. 4- 5i O D. 5+ 6i

Classify the quadratic form below. Then make a change of variable, x = Py, that transforms the quadratic form into one with no cross-product term. Write the new quadratic form. 2 2 8x₁² + 8x₂² +8x3² + 8x4² + 16x₁x2 + 16x3 x4 +30x₁x4-30x2x3 What is the most precise classification for the quadratic form? O A. Positive semidefinite OB. Negative semidefinite O C. Positive definite OD. Indefinite OE. Negative definite The new quadratic form is y' Dy=

Find wa+bi = √ where a and b are real numbers. W = -60i - 11 ☐ w =

Let i denote the square root of -1. Suppose z=12+8i and w=−9−i. Find z(z−w¯). Select one: 308+252i 108+252i 196+252i not in the list 92-132i