Answer :
The trinomial function; x²+6x+10 when written in the form (x+a)²+b is; (x + 3)² + 1.
What is a trinomial function?
In a bid to write the trinomial function; x²+6x+10 when written in the form (x+a)²+b;
We must first divide the coefficient of x in the trinomial by 2 so that we have; 6/2 = 3.
In essence, a = 3; so that we have;
- (x +3)² = x² + 6x + 9.
However, the trinomial given is; x²+6x+10.
Therefore;
- x²+6x+10 = (x² + 6x + 9) + 1
- x² + 6x + 10 = (x + 3)² + 1.
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