(x+3)^2=(x+3)(x+3)=x^2+6x+9 express x^2+6x+13 in the form (x+a)^2+b giving the values of a and b

The value of a is 3 while the value of b is 4

Step-by-step explanation:

Here, we want to express the given polynomial in the given form while giving the values of a and b

We can rewrite the polynomial as follows;

x^2 + 6x + 9 + 4

We can factorize the first part;

x^2 + 3x + 3x + 9 + 4

x(x + 3)+ 3(x + 3) + 4

= (x + 3)(x + 3) + 4

= (x + 3)^2 + 4

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step-by-step explanation: