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Class 9 · Maths · Chapter 2

Use the factor theorem to check whether (x + 1) is a factor of x³ + x² + x + 1.

Class 10 · Maths · Chapter 2

Apply the division algorithm to divide 2x³ + 3x² − x + 1 by (x + 2), and state the quotient and remainder.

Class 10 · Maths · Chapter 2

State the division algorithm for polynomials.

Class 9 · Maths · Chapter 2

Expand (2x + 3y)² using a standard identity.

Class 10 · Maths · Chapter 2

The zeroes of a polynomial are the x-values where its graph meets the x-axis. A quadratic polynomial has at most 2 zeroes and a cubic has a…

Class 9 · Maths · Chapter 2

A polynomial in x is an expression of the form a₀ + a₁x + a₂x² + … where the powers of x are whole numbers. The highest power is the degree…

Class 10 · Maths · Chapter 2

Quadratic ax² + bx + c (zeroes α, β): α + β = −b/a αβ = c/a Quadratic with given zeroes: x² − (α + β)x + αβ Cubic ax³ + bx² + cx + d (zeroe…

Class 9 · Maths · Chapter 2

(a + b)² = a² + 2ab + b² (a − b)² = a² − 2ab + b² a² − b² = (a + b)(a − b) (x + a)(x + b) = x² + (a + b)x + ab (a + b)³ = a³ + b³ + 3ab(a +…