Algebra Practice Questions & Answers

If p = 4 + √15, then find the value of \(\frac{{{p^7} + {p^5} + {p^3} + p}}{{{p^2}}}\)

If p = 4 + √15, then find the value of \(\frac{{{p^7} + {p^5} + {p^3} + p}}{{{p^2}}}\)
1).  31941.61
2).  33841.91
3).  30741.61
4). 38204.53

Factorise X2 + 5X – 14.

Factorise X² + 5X – 14.
1). (X – 7) (X + 2)
2). (X – 1) (X + 14)
3). (X + 7) (X – 2)
4). (X – 14) (X + 1)

In the following question, two equations are given. Find the correct answer after solving the equations. I. 3x2 + 34x – 165 = 0 II. 2y2 – 27y + 81 = 0

In the following question, two equations are given. Find the correct answer after solving the equations.

I. 3x² + 34x – 165 = 0

If x = (√2 - 1)1/3, then the value of x3 – 1/x3 is:

If x = (√2 - 1)^1/3, then the value of x³ – 1/x³ is:

If x, y and z are real numbers such that (x - 4)2 + (y - 5)2 + (z - 6)2 = 0 then (x + y + z) is equal to

If x, y and z are real numbers such that (x - 4)² + (y - 5)² + (z - 6)² = 0 then (x + y + z) is equal to
1). -15
2). 3
3). 7
4). 15

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