Question Type 2: Factorizing to get from ax^2 + bx + c to a(x-p)(x-q) Exercises

Factorise $6x^2 - x - 2$ into the form $6(x - p)(x + q)$.

Factorise $9x^2 - 30x + 25$ into the form $9(x - p)(x - q)$.

Factorise $2x^2 - 10x + 12$ into the form $2(x - p)(x - q)$.

Factorise $-2x^2 + 5x - 3$ into the form $-2(x - p)(x - q)$.

Factorise $3x^2 + 12x + 12$ into the form $3(x + p)(x + q)$.

Factorise $2x^2 + 9x + 10$.

Factorise $7x^2 - 14x + 7$ into the form $7(x - p)(x - q)$.

Factorise $4x^2 + x - 3$.

Factorise $4x^2 - 12x + 9$ into the form $4(x - p)(x - q)$.

Factorise $5x^2 - x - 4$ into the form $5(x - p)(x + q)$.

Factorise $8x^2 + 2x - 3$.

Factorise $3x^2 - 7x - 6$.