Question

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

X^2-bx+100

a- 10
b-20
c-5
d-50

Answer 1

Explanation:

1. Perfect square trinomials, are 2nd degree polynomials, of the form so that , which can be written as perfect squares.

2. For example

3. Thus are perfect square trinomials.

4.

5. In the first case -b=20, so b=-20. In the second case, -b=-20, so b=20.

6. b∈{-20, 20}

Answer 2

b) 20

Explanation:

x^2-20x+100 If you factor it, it would be (x-10)^2