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The constant term that is necessary to complete the perfect square trinomial pictured in the algebra tile is 16.
What is a perfect square trinomial?
A perfect square trinomial is an algebraic statement with three terms of the type ax²+bx+c. It is calculated by multiplying a binomial with itself.
For the given trinomial to be a perfect square trinomial, the value of the constant term should be such that the value of the term expression must be similar to (a+b)². Therefore,
[tex](a+b)^2=a^2+2ab+b^2[/tex]
[tex]=x^2+8x+16[/tex]
Now, if we compare the two equations we will understand that the first term of the perfect square trinomial is x, and thus, the last term should 16.
[tex](x+4)^2=x^2+8x+16[/tex]
Hence, the constant term that is necessary to complete the perfect square trinomial pictured in the algebra tile is 16.
Learn more about Perfect Square Trinomial:
https://brainly.com/question/88561
16 is the constant term is necessary to complete the perfect square trinomial pictured in the algebra tiles will be (x + 4).
What is a perfect square?
A perfect square is a number that may be written as the product of two integers or as the integer's second exponent.
The perfect square obtained from the given equation is (x + 4).;
On squaring we get;
[tex](x + 4)^2 = x^2 + 8x + 16.[/tex]
16 is the only constant term in the equation.
Hence 16 is the constant term that is necessary to complete the perfect square.
To learn more about the perfect square refer to the link;
https://brainly.com/question/385286
