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Write the trinomial in the form (x+a)^2+b where a and b can be positive or negative.

x^2+6x+10

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Adioabiolaid

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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