Question Type 8: Converting the quadratic to a product of linear terms Exercises

Expand and simplify the expression $(x - 3)(x + 5)$ to the form $ax^2 + bx + c$.

Factorise the quadratic expression $x^2 + 5x + 6$.

Factorise the quadratic expression $x^2 - x - 6$.

Factorise the quadratic expression $3x^2 + 6x + 3$.

Expand and simplify the expression $2(x - 1)(x + 2)$ to the form $ax^2 + bx + c$.

Factorise the quadratic expression $x^2 + 4x + 4$.

Factorise the quadratic expression $2x^2 - 4x - 6$.

Factorise the quadratic expression $5x^2 - 20x + 15$.

Factorise the quadratic expression $4x^2 - 4x + 1$.

Given that $(x + m)(x + 4)$ expands to $x^2 + 10x + 24$, find the value of $m$.

Express the quadratic $2x^2 + 7x + 3$ in the form $(2x + r)(x + s)$.

Factorise the quadratic expression $6x^2 - x - 2$.