Polynomials
Math ⇒ Algebra
Polynomials starts at 7 and continues till grade 12.
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See sample questions for grade 12
Describe the process of synthetic division for dividing polynomials.
Divide the polynomial x3 + 2x2 - 5x + 6 by (x - 1) and state the remainder.
Explain why x-2 + 3 is not a polynomial.
Find the sum of the roots of the polynomial 2x2 - 5x + 3.
Find the value of k so that x2 + kx + 9 has equal roots.
Given the polynomial f(x) = x3 - 6x2 + 11x - 6, find all its integer roots.
If a polynomial p(x) is divided by (x - 3) and the remainder is 7, what is the value of p(3)?
If p(x) = 2x2 + 3x + 1 and q(x) = x2 - x + 4, find p(x) + q(x).
If p(x) = x2 - 4x + 3, find p(2).
If p(x) = x4 - 5x2 + 4, what is the degree and leading coefficient of p(x)?
If the product of the roots of a quadratic polynomial ax2 + bx + c is 6 and a = 2, c = 12, what is the value of b?
If the remainder when f(x) is divided by (x - 1) is 5, and the remainder when f(x) is divided by (x - 2) is 3, what is the remainder when f(x) is divided by (x - 1)(x - 2)?
If the sum and product of the roots of a quadratic polynomial are 7 and 12 respectively, write the polynomial.
State the Factor Theorem.
