Polynomials
Math ⇒ Algebra
Polynomials starts at 7 and continues till grade 12.
QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Polynomials.
How you perform is determined by your score and the time you take.
When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.
See sample questions for grade 11
Given the polynomial f(x) = 2x3 - 5x2 + 4x - 1, what is the coefficient of x2?
If a polynomial p(x) is divided by (x - 2), and the remainder is 5, what is p(2)?
If f(x) = x2 - 3x + 2, find all real roots of f(x).
If f(x) = x3 - 6x2 + 11x - 6, find all real roots of f(x).
Which of the following is a binomial?
(1) x2 + 2x + 1
(2) 3x + 4
(3) 5x3
(4) 7
Which of the following is a cubic polynomial?
(1) x3 + 2x + 1
(2) x2 - 5x + 6
(3) 4x + 7
(4) x4 - 2x2 + 3
Which of the following is a monic polynomial?
(1) x2 + 3x + 2
(2) 2x2 - x + 1
(3) 5x3 + 2x
(4) 4x + 7
Which of the following is a polynomial?
(1) 3x2 + 2x - 5
(2) 2/x + 1
(3) √x + 4
(4) x3 - 7
Fill in the blank: The constant term in the polynomial 4x3 - 2x + 7 is __________.
Fill in the blank: The degree of the zero polynomial is __________.
Fill in the blank: The leading coefficient of the polynomial 7x5 - 2x3 + x - 8 is __________.
Fill in the blank: The product of (x + 2) and (x - 2) is __________.
State True or False: A polynomial of degree n can have at most n real roots.
State True or False: Every linear polynomial has exactly one root.
State True or False: The degree of a non-zero constant polynomial is 0.
State True or False: The degree of the polynomial 5x4 - 3x2 + 7 is 4.
