Question

Please help
What value of b makes the trinomial below a perfect square?

X^2-bx+16

Answer 1

• D) 8

Explanation:

Given trinomial:

• x² - bx + 16

It has two perfect squares and a variable with negative coefficient.

It can be representing a:

• (m - n)² = m² - 2mn + n²

If we substitute m with x and n with 4, we'll get 2mn = 2*x*4 = 8x.

This gives us b = 8

• (x - 4)² = x² - 8x + 16