Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

Polynomials

Short Answer Type

171.

Factorise each of the following:

x² + 2ax - b² - 2ab

1577 Views

172.
Factorise each of the following:

(x² + x)² + 4(x² + x) - 12

(x² + x)² + 4(x² + x) - 12
(x² + x)² + 4(x² + x) - 12 = y² + 4y - 12
| where y = x² + x
= y² + 6y - 2y - 12
= y(y + 6) - 2(y + 6)
= (y + 6)(y - 2)
= (x² + x + 6)(x² + x - 2)
| ∵ = x² + x
= (x² + x + 6)(x² + 2x - x - 2)
= (x² + x + 6)[x(x + 2) - 1(x + 2)]
= (x² + x + 6)(x + 2)(x - 1).

136 Views

173. Simplify:

fraction numerator 73 cross times 73 cross times bold 73 bold cross times bold 27 bold cross times bold 27 bold cross times bold 27 over denominator bold 73 bold cross times bold 73 bold minus bold 73 bold cross times bold 27 bold plus bold 27 bold cross times bold 27 end fraction

129 Views

174. Factorise:

7 square root of 2 straight x squared minus 10 straight x minus 4 square root of 2

111 Views

175. Factorise:

2 square root of 2 straight a cubed plus 8 straight b cubed minus 27 straight c cubed plus 18 square root of 2 space abc

115 Views

176.

If $straight x minus 1 over straight x equals 3 comma$ then find the value of $straight x cubed minus 1 over straight x cubed.$

146 Views

177. Factorise: a⁷ + ab⁶.

548 Views

178. Prove that

fraction numerator 0.75 cross times 0.75 cross times 0.75 plus 0.25 cross times 0.25 cross times 0.25 over denominator 0.75 cross times 0.75 minus 0.75 cross times 0.25 plus 0.25 cross times 0.25 end fraction equals 1

122 Views

179.

Simplify:

$open parentheses straight x minus 2 over 3 straight y close parentheses cubed minus open parentheses x plus 2 over 3 y close parentheses cubed$

115 Views

180.

Factorise:

$straight x squared plus fraction numerator 1 over denominator straight x squared plus 2 end fraction minus 2 minus 2 straight x minus 2 over straight x$