18. Classify the quadratic forms below. a. 9(x1)? – 8x,x2 + 3(x2)? b. -5(x,)? + 4x,x2 - 2(x2)?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.1: Quadratic Functions And Models
Problem 1E: To put the quadratic function f(x)=ax2+bx+c in standard form, we complete the ________________.
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18. Classify the quadratic forms below.
a. 9(x1)? – 8x,x2 + 3(x2)²
b. -5(x,)? + 4x;x2 – 2(x2)?
19. What is the largest value of the quadratic form 5(x,)? – 3(x2)² if x²x = 1.
20. What is the largest possible value of the quadratic form
9(x)? + 7(x2)² + 11(x3)² – 8x,x2 + 8x,X3
if x"x = 1?
Transcribed Image Text:18. Classify the quadratic forms below. a. 9(x1)? – 8x,x2 + 3(x2)² b. -5(x,)? + 4x;x2 – 2(x2)? 19. What is the largest value of the quadratic form 5(x,)? – 3(x2)² if x²x = 1. 20. What is the largest possible value of the quadratic form 9(x)? + 7(x2)² + 11(x3)² – 8x,x2 + 8x,X3 if x"x = 1?
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