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Factorise the quadratic expression $x^2 - x - 12$ - Junior Cycle Mathematics - Question 11 - 2013
Question 11
Factorise the quadratic expression $x^2 - x - 12$. Use the factors from part (a) to solve the equation $x^2 - x - 12 = 0$.
Worked Solution & Example Answer:Factorise the quadratic expression $x^2 - x - 12$ - Junior Cycle Mathematics - Question 11 - 2013
Step 1
Factorise the quadratic expression $x^2 - x - 12$
Answer
To factor the quadratic expression , we need to find two numbers that multiply to -12 (the constant term) and add to -1 (the coefficient of the middle term, x).
The numbers -4 and 3 satisfy these conditions since:
Thus, we can write the factorization as:
\(x + 3)(x - 4)\.
Step 2