Explanation

Polynomial = variables with whole number powers 0,1,2,3... only. No 1/x, no variable in denominator, no √x.

x² − 3x + √2 → √2 is just a constant, powers are 2,1,0.

So x² − 3x + √2 is the correct choice.

Last verified on 09-06-2026

Explanation

x² - 5x + 6 = 0

Factor it: Find 2 numbers that multiply to 6 and add to -5 → -2 and -3

x² - 2x - 3x + 6 = 0  

x(x - 2) - 3(x - 2) = 0  

(x - 2)(x - 3) = 0

So x - 2 = 0 → x = 2  

Or x - 3 = 0 → x = 3

Last verified on 09-05-2026

Explanation

Let the 5 consecutive odd integers be:  

x, x+2, x+4, x+6, x+8

Sum = x + (x+2) + (x+4) + (x+6) + (x+8) = 625  

5x + 20 = 625  

5x = 605  

x = 121

So the integers are: 121, 123, 125, 127, 129

Largest = 129

Last verified on 09-06-2026

Explanation

Given sinθ = 3/5, 1st quadrant

Use identity: sin²θ + cos²θ = 1

(3/5)² + cos²θ = 1  

9/25 + cos²θ = 1  

cos²θ = 1 - 9/25 = 16/25  

cosθ = ±4/5

In 1st quadrant both sin and cos are positive.  

So cosθ = 4/5.

Last verified on 04-05-2026

Explanation

log(x² y³) - 2log(x) 

Use 2 log rules:

1. k·log(a) = log(aᵏ) → 2log(x) = log(x²)

2. log(A) - log(B) = log(A/B)

So: log(x² y³) - log(x²) = log[(x² y³)/x²] = log(y³)

And log(y³) = 3log(y)

Last verified on 09-06-2026