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).
If p(x) = x2 + 4x + 4, express p(x) as a square of a binomial.
If the product of the roots of the quadratic polynomial x2 + px + q is 6 and the sum is -5, what are the values of p and q?
If the remainder when f(x) is divided by (x - 2) is 7, what is f(2)?
If the sum of the roots of a quadratic polynomial is 8 and the product is 15, write the polynomial.
State the Factor Theorem.
State the Remainder Theorem.
