Explanation

Given 2 is a zero of the polynomial 2x⁴ + x³ + kx² - 8, we substitute x = 2 into the polynomial and set it equal to 0:

2(2)⁴ + (2)³ + k(2)² - 8 = 0

2(16) + 8 + 4k - 8 = 0

32 + 8 + 4k - 8 = 0

32 + 4k = 0

Now, solve for k:

4k = -32

k = -32/4

k = -8

Explanation

"Stars" is plural, so the auxiliary verb "do" is correct.

The base form "shine" follows "do" in questions.

Explanation

لفظ "شجر" کا جمع "اشجار" ہے۔

شجر کا مطلب درخت ہے اور "اشجار" درختوں کی جمع ہے۔

Explanation

High-level programming languages are commonly classified into three categories: procedural, object-oriented, and functional.

These categories are based on different programming paradigms that define how programmers structure and write code.

Explanation

Find a common denominator (LCM of 2, 3, and 4 is 12):

1/2 = 6/12

2/3 = 8/12

3/4 = 9/12

Add them: 6/12 + 8/12 + 9/12 = 23/12.

Explanation

عمود کا مطلب ستون ہوتا ہے، اور یہاں اس کا مطلب ہے کہ نماز اسلام کا ستون ہے جو اسے قائم رکھنے والا اہم عمل ہے۔

اس حدیث میں نماز کو اسلام کا اہم ستون قرار دیا گیا ہے۔

Explanation

L3 cache is a level of CPU cache memory that is slower than L1 and L2, but still faster than main RAM.

It helps improve overall CPU performance by storing frequently accessed data shared across cores.

Explanation

A mechanical mouse uses a rubber ball to detect movement as it rolls on a surface.

The movement of the ball turns internal rollers that track the cursor’s direction and speed.

Explanation

A probability of 1 means that the event is certain to occur.

Probability ranges from 0 (impossible) to 1 (certain).

Explanation

The circumference of the circle is:

2 × π × r = 2 × π × 15 = 30π m

Distance traveled in 3.5 revolutions:

= 3.5 × 30π

= 105π m