Polynomials (10 Maths)
Polynomials are algebraic expressions with multiple terms consisting of variables and constants. Understanding polynomial operations and theorems like the
TL;DR: Polynomials are algebraic expressions with multiple terms consisting of variables and constants. Understanding polynomial operations and theorems like…
Written & reviewed by the Syllab.in Academic Team (CBSE/NCERT subject experts) · Updated
Polynomials are algebraic expressions with multiple terms consisting of variables and constants. Understanding polynomial operations and theorems like the
Polynomials MCQs with Answers & Explanations
Q1. If x = 2 is a zero of the polynomial p(x) = x^2 - 2x + k, then k is:
- 0 ✓ (correct)
- 2
- 4
- -2
Q2. The degree of the polynomial 4x^3 - 5x^2 + 2x - 1 is:
- 1
- 2
- 3 ✓ (correct)
- 4
Q3. If the sum of zeros of the polynomial x^2 - 5x + 6 is s, then s is:
- 3
- 5 ✓ (correct)
- -5
- 6
Q4. The product of zeros of the polynomial 2x^2 - 8x + 6 is:
- 3 ✓ (correct)
- -3
- 4
- -4
Q5. When p(x) = x^3 - 2x^2 + x - 1 is divided by (x - 1), the remainder is:
- 0
- -1
- -3 ✓ (correct)
- -2
Q6. Which of the following is a factor of x^3 - 8?
- x + 2
- x - 2
- x^2 + 2x + 4
- All of the above ✓ (correct)
Q7. The number of zeros of a cubic polynomial is at most:
- 1
- 2
- 3 ✓ (correct)
- 4
Q8. If (x - 1) is a factor of x^3 + ax^2 - 2x - 1, then a is:
- 0
- 1
- 2 ✓ (correct)
- -1
Q9. The zeros of the polynomial (x - 3)(x + 2)(x - 1) are:
- 3, -2, 1 ✓ (correct)
- -3, 2, -1
- 3, 2, 1
- -3, -2, -1
Q10. If the polynomial x^2 - px + q has zeros a and b, then:
- a + b = p, ab = q ✓ (correct)
- a + b = -p, ab = -q
- a + b = p, ab = -q
- a + b = q, ab = p
Frequently Asked Questions
What is the remainder theorem and how is it used?
The remainder theorem states that when a polynomial p(x) is divided by (x - a), the remainder is p(a).
How do you determine if a number is a zero of a polynomial?
A number is a zero of a polynomial if substituting it for the variable makes the polynomial equal to zero.
More 10 Maths MCQs
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