Roots of Polynomial Equation

Submitted by michaela.bailova on Wed, 04/17/2024 - 17:53
Project ID: 
7100020072
Accepted: 
SubArea: 
Higher degree equations and inequalities
Type: 
Pexeso
Layout: 
8x8
Question: 
Each pair you are looking for consists of an equation and the sum of its real roots. We have to consider that an equation can have multiple roots, so we must count each root as many times as its multiplicity is.
Question 1: 
(x+7)(x+3)(x−11)=0
Answer 1: 
1
Question 2: 
2(x−2)(x+4)(x−1)(x+1)2=0
Answer 2: 
−3
Question 3: 
(x2−4)(x−1)(2x+2)2=0
Answer 3: 
−1
Question 4: 
−3(x−3)(x−11)(x+8)3=0
Answer 4: 
−10
Question 5: 
2(x2+4)(x+4)(x−1)(x+1)2=0
Answer 5: 

−5

Question 6: 
−(x2−8)(x+5)(x−1)(x−2)2=0
Answer 6: 
0
Question 7: 
2(x2−9)(x+2)(x+6)2=0
Answer 7: 
−14
Question 8: 
4x(x+2)(x−5)(2x2+2)2=0
Answer 8: 
3
Question 9: 
−5(x+4)(3x2+6)(x+1)2=0
Answer 9: 
−6