Q5 The degree of expression x+x3-1125+x-x3-1125 is (A) 5 (B) 6 (C) 7 (D) 8 - Maths - Binomial Theorem

Question

Q5 The degree of expression x + x 3 - 1 1 2 5 + x - x 3 - 1 1 2 5
is
(A) 5
(B) 6
(C) 7
(D) 8

Neha Sethi · Accepted Answer

Dear student
x+x3-1125+x-x3-1125=5C0x5x3-1120+5C1x4x3-1121+5C2x3x3-1122+5C3x2x3-1123+5C4x1x3-1124+5C5x0x3-1125+5C0x5-x3-1120+5C1x4-x3-1121+5C2x3-x3-1122+5C3x2-x3-1123+5C4x1-x3-1124+5C5x0-x3-1125[using Binomial expansion]=2x5+10x3x3-1+5xx3-12=2x5+10x6-10x3+5xx6+1-2x3=2x5+10x6-10x3+5x7+5x-10x4=25x7+10x6+x5-10x4-10x3+5xwhich is a polynomial of degree 7

Regards

Q5. The degree of expression x + x 3 - 1 1 2 5 + x - x 3 - 1 1 2 5 is (A) 5 (B) 6 (C) 7 (D) 8

Q5. The degree of expression ${[x + {(x^{3} - 1)}^{\frac{1}{2}}]}^{5} + {[x - {(x^{3} - 1)}^{\frac{1}{2}}]}^{5}$ is
(A) 5
(B) 6
(C) 7
(D) 8