FACTORISE P(X)= X²-X-42
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Answer:
()=2−−42
Step-by-step explanation:
(x+6)(x−7) is the factorised form of the expression.
Explanation:
x2−x−42
We can Split the Middle Term of this expression to factorise it.
In this technique, if we have to factorise an expression like ax2+bx+c, we need to think of 2 numbers such that:
N1⋅N2=a⋅c=1⋅(−42)=−42
and
N1+N2=b=−1
After trying out a few numbers we get N1=−7 and N2=6
6⋅(−7)=−42 and 6+(−7)=−1
x2−x−42=x2−7x+6x−42
=x(x−7)+6(x−7)
(x+6)(x−7) is the factorised form of the expression
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