GCSE Secondary Maths Age 13-17 - Algebra: Algebra - Explained

The video tutorial explains how to express a polynomial in the form of ax^3 + bx^2 + cx + d, where a, b, c, and d are positive integers. It demonstrates the expansion of triple brackets, starting with the first two and then incorporating the third. The process involves collecting like terms and ensuring all coefficients are positive integers. The tutorial also outlines the marking scheme for the problem, emphasizing the importance of each step in the expansion process.

What is the form of the polynomial expression discussed in the video?

• ax + b

• ax^4 + bx^3 + cx^2 + d

• ax^3 + bx^2 + cx + d

• ax^2 + bx + c

What is the result of expanding the brackets (x + 1) and (x + 2)?

• x^2 + 3x + 2

• x^2 + 2x + 1

• x^2 + 4x + 4

• x^2 + x + 1

Which term is not part of the expanded form of (x + 1)(x + 2)?

• 4x

• 2

• 3x

• x^2

What is the coefficient of x^2 in the final expanded polynomial?

• 3

• 6

• 9

• 11

How many marks are awarded for correctly expanding the polynomial?

• Four

• Three

• Two

• One