Question

Data Completion. Determine a number that must be added to make each of the following a perfect square

trinomial.
26. x² + 3x +
27. t² + 10t +.
28. x² - 30x +
29. r²- 18r+.
30. x² - 10x +
31.
h²h+
2
32. 3x² + 3x +
33. 2x² -5x +_
34. s² + 6s+
35. x² - 12x +
_I

Answer 1

26. To make x² + 3x + ___ a perfect square trinomial, we need to add (3/2)² = 2.25. So x² + 3x + 2.25 is a perfect square trinomial.

27. To make t² + 10t + ___ a perfect square trinomial, we need to add (10/2)² = 25. So t² + 10t + 25 is a perfect square trinomial.

28. To make x² - 30x + ___ a perfect square trinomial, we need to add (30/2)² = 225. So x² - 30x + 225 is a perfect square trinomial.

29. To make r² - 18r + ___ a perfect square trinomial, we need to add (18/2)² = 81. So r² - 18r + 81 is a perfect square trinomial.

30. To make x² - 10x + ___ a perfect square trinomial, we need to add (10/2)² = 25. So x² - 10x + 25 is a perfect square trinomial.

31. To make h² + (h/2) + ___ a perfect square trinomial, we need to add (1/2)² = 0.25. So h² + (h/2) + 0.25 is a perfect square trinomial.

32. To make 3x² + 3x + ___ a perfect square trinomial, we need to add (3/2)² = 2.25. So 3x² + 3x + 2.25 is a perfect square trinomial.

33. To make 2x² - 5x + ___ a perfect square trinomial, we need to add (5/2)² = 6.25. So 2x² - 5x + 6.25 is a perfect square trinomial.

34. To make s² + 6s + ___ a perfect square trinomial, we need to add (6/2)² = 9. So s² + 6s + 9 is a perfect square trinomial.

35. To make x² - 12x + ___ a perfect square trinomial, we need to add (12/2)² = 36. So x² - 12x + 36 is a perfect square trinomial.