Polynomials
Math ⇒ Algebra
Polynomials starts at 7 and continues till grade 12.
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See sample questions for grade 10
Divide the polynomial 2x2 + 5x + 3 by x + 1 and state the quotient.
Find the value of the polynomial p(x) = x2 - 2x + 3 at x = 4.
If a polynomial f(x) is divided by (x - 1) and the remainder is 5, what is f(1)?
If p(x) = 2x2 + 3x - 1 and q(x) = x2 - x + 4, find p(x) + q(x).
If p(x) = 2x2 + 3x + 1 and q(x) = x2 - x + 2, find p(x) - q(x).
If p(x) = x2 - 2x + 1, find all real zeros of p(x).
If p(x) = x2 - 5x + 6, find the roots of p(x).
If p(x) = x2 + 2x + 1, factorize p(x).
Which of the following expressions is a trinomial? (1) 2x2 + 3x + 1 (2) 4x (3) x3 - 2x (4) 7
Which of the following is a factor of x2 - 5x + 6? (1) x + 2 (2) x - 2 (3) x - 3 (4) x + 3
Which of the following is a linear polynomial? (1) 2x + 3 (2) x2 + 1 (3) x3 - 2x (4) 5
Which of the following is a monomial? (1) 7x (2) 3x + 2 (3) x2 - 5x (4) 2x3 + 1
A polynomial with exactly two terms is called a _______.
If a polynomial is of degree 0, it is called a _______ polynomial.
The coefficient of x in the polynomial 4x3 - 7x + 2 is _______.
The degree of the polynomial 5x4 - 3x2 + 7 is _______.
State whether the following statement is true or false: The degree of the zero polynomial is not defined.
True or False: Every linear polynomial has exactly one root.
True or False: The degree of a non-zero constant polynomial is 0.
True or False: The degree of the product of two polynomials is the sum of their degrees.
