Online Test — Polynomials
10 Questions • 15 min • Chapter MCQ
15:00
Question 1 of 10
medium
What is the degree of the polynomial 4x³ - 2x² + x - 7?
1
2
3
4
Explanation: Highest exponent is 3
Question 2 of 10
medium
Which of the following is a binomial?
x² + 2x + 1
5x³
2x - 7
x² + 4x - 5
Explanation: Binomial has exactly 2 terms
Question 3 of 10
medium
Add: (3x² + 5x - 2) + (x² - 3x + 4)
4x² + 2x + 2
4x² + 8x + 2
4x² + 2x - 6
4x² + 8x - 6
Explanation: 3+1=4x², 5-3=2x, -2+4=2
Question 4 of 10
medium
Multiply: (x + 5)(x - 2)
x² + 3x - 10
x² - 3x - 10
x² + 7x - 10
x² - 7x - 10
Explanation: FOIL: x² -2x +5x -10 = x²+3x-10
Question 5 of 10
medium
Find the remainder when x³ - 2x² + 4x - 5 is divided by (x - 1)
-2
0
2
4
Explanation: P(1)=1-2+4-5=-2
Question 6 of 10
medium
Factor: x² + 7x + 12
(x+3)(x+4)
(x+2)(x+6)
(x+1)(x+12)
(x-3)(x-4)
Explanation: Factors of 12 summing to 7: 3 and 4
Question 7 of 10
medium
Which of the following is NOT a polynomial?
x² + 2x
x + 1/x
3x - 5
7
Explanation: x + 1/x has variable in denominator
Question 8 of 10
medium
Factor: x² - 49
(x-7)(x-7)
(x+7)(x+7)
(x-7)(x+7)
(x-49)(x+1)
Explanation: Difference of squares: a²-b²=(a-b)(a+b)
Question 9 of 10
medium
If (x - 3) is a factor of x³ - 6x² + 11x + k, find k
-6
6
12
-12
Explanation: P(3)=27-54+33+k=0 → 6+k=0 → k=-6
Question 10 of 10
medium
Which polynomial is a perfect square trinomial?
x² + 4x + 4
x² + 4x + 16
x² + 8x + 9
x² + 6x + 12
Explanation: (x+2)² = x²+4x+4