Polynomials
Math ⇒ Algebra
Polynomials starts at 7 and continues till grade 12.
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See sample questions for grade 9
Find the product of (x + 2) and (x - 3).
If f(x) = 2x2 + 3x - 1, what is f(-1)?
If p(x) = 2x2 - 5x + 3, find the value of p(0).
If p(x) = 2x2 + 3x + 1 and q(x) = x2 - x + 2, find p(x) - q(x).
If p(x) = x2 - 2x + 1, find the value of x for which p(x) = 0.
If p(x) = x2 - 5x + 6, find all the zeros of p(x).
If p(x) = x2 + 4x + 4, factorize p(x).
If the remainder when a polynomial p(x) is divided by (x - 2) is 5, what is the value of p(2)?
Which of the following expressions is a trinomial?
(1) x2 + 2x + 1
(2) 3x - 4
(3) 2x
(4) 7
Which of the following is a binomial?
(1) x2 + 2x + 1
(2) 3x - 4
(3) 2x
(4) 7
Which of the following is a constant polynomial?
(1) x
(2) 0
(3) 5
(4) x + 1
Which of the following is a cubic polynomial?
(1) x3 + 2x2 + 1
(2) x2 + 2x + 1
(3) 3x - 4
(4) 2x
A polynomial of degree 2 is called a ________.
Fill in the blank: The constant term in the polynomial 4x3 - 2x + 6 is ________.
Fill in the blank: The degree of the polynomial 2x3y2 + 5xy is ________.
Fill in the blank: The degree of the zero polynomial is ________.
State whether the following statement is true or false: The degree of a non-zero constant polynomial is zero.
State whether the following statement is true or false: The degree of a polynomial in two variables is the highest sum of the exponents of the variables in any term.
State whether the following statement is true or false: The highest power of the variable in a polynomial is called its degree.
State whether the following statement is true or false: The sum of two polynomials is always a polynomial.
