Question

Find the number to add to x² + 10x to make it a perfect square trinomial. Write that trinomial as the square of a binomial.

add 100; (x + 10)²
add 10; (x + 5)²
add 20; (x + 10)²
dd 26.6
161²

Answer 1

To make x² + 10x a perfect square trinomial, add 25 to it to get (x + 5)².

Step-by-step explanation:

To make x² + 10x a perfect square trinomial, we need to add the square of half the coefficient of the x-term. In this case, the coefficient is 10, so half of it is 5. Thus, we need to add 5² = 25 to the expression. The trinomial then becomes (x + 5)².

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