Polynomials Test

Result

Polynomials Test - 3

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

Find the values of

(i) 1296A + 36C + D
(ii) -2592A + B - 72C - 2D
(iii) B

if 6 and -6 are the zeros of Ax⁵ + B + Cx³ + Dx.

A
(i) 0 (ii) 0 (iii) 0

B
(i) 0 (ii) -1 (iii) 1

C
(i) 1 (ii) 0 (iii) 2

D
(i) 0 (ii) -1 (iii) 0

Solution

Since 6 and -6 are the zeros of Ax⁵+ B + Cx³ + Dx;
7776A + B + 216C + 6D = 0 --- (1)
And -7776A + B – 216C – 6D = 0 --- (2)

(i) Subtract (2) from (1):
7776A + B + 216C + 6D + 7776A - B + 216C + 6D = 0
15552A + 432C + 12D = 0
1296A + 36C + D = 0 --- (3)

(ii) Equation (1) + 2(equation (2)):
7776A + B + 216C + 6D – 15552A + 2B – 432C – 12D = 0
-7776A + 3B – 216C – 6D = 0
-2592A + B – 72C – 2D = 0 –- (4)

(iii) Now, equation (1) + equation (2):
7776A + B + 216C + 6D - 7776A + B – 216C – 6D = 0
B = 0