Answer:
the factorisation of 14x^2 - x - 3 is (7x + 3)(2x - 1).
Explanation:
To factorise the quadratic expression 14x^2 - x - 3, we can use the following steps:
- Look for two numbers that multiply to 14 and add to -1. The numbers we need are -7 and 2.
- Write the expression as a product of two binomials: (14x^2 - 7x) + (-x - 3).
- Now, we use the difference of squares factorization to separate the middle term: (7x + 3)(2x - 1).
- Check our answer by multiplying the two binomials together and comparing the result to the original expression.
So, the factorisation of 14x^2 - x - 3 is (7x + 3)(2x - 1).