Question

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26. What number will make x^2+18x+_____ a perfect square trinomial? *
a. 9
b. 18
c. 81
d. -81
e. None of the above

Answer 1

Answer:

81 is the number that will make x² + 18x a perfect square trinomial.

Explanation:

Divide the coefficient of  x  by  2  and square the result. Then , we will get the number that will make x² + 18x a perfect square trinomial.

(x² + 18x is a second degree equation.)

Here , the coefficient of  x is 18

then, (18 /2)² = 9² = 81

∴ The  number that will make x² + 18x a perfect square trinomial is 81.

(Keep in mind :- x² + 18x is a second degree equation. The general formula of a second degree equation is ax² + bx + c and c = (b/2)².)

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