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KoolLion

Answer:

B.) 18

Step-by-step explanation:

To find the correct b value we use this formula

b² - 4ac = 0

b = What we are solving for

a = 1

c = 81

b² - 4(1)(81) = 0

b² - 324 = 0

b² = 324

[tex]b = \sqrt{324}[/tex]

b = ±18

And 18 is one of the answer choices

So B.) 18 is the correct answer.

ajeigbeibraheem

The value of B that makes the expression a perfect square trinomial is 18

Suppose an expression of the form ax² + Bx + c and meets the requirement b² = 4ac. it is said to be a perfect square trinomial.

From the expression given:

  • x² + Bx + 81

where;

  • a = 1
  • c = 81

Using the formula:

  • b² = 4ac
  • b² = 4 × (1) × (81)
  • b² = 324
  • [tex]\mathbf{b = \sqrt{324}}[/tex]
  • b = 18

Therefore, the value of B makes the expression x² + Bx + 81 a perfect square trinomial is 18.

Learn more about perfect square trinomial here:

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