Question

Complete the expressions that would make them a perfect square trinomial.

Answer 1

Answer:

a) 16

b) 100

c) 64

d) $\frac{81}{4}$[/tex]

Step-by-step explanation:

Perfect square trinomial:

A perfect square trinomial has the following format:

$(x \pm a)^2 = x^2 \pm 2ax + a^2$

a.

x² – 8x

$x^2 - 8x = x^2 - 2ax$

So 2a = 8, a = 4. Then

$a^2 = 4^2 = 16$

The perfect square trinomial is $x^2 - 8x + 16$

b. x2 + 20x +

2a = 20, so a = 10

$a^2 = 10^2 = 100$

The perfect square trinomial is $x^2 + 20x + 100$

C.

x² – 16x +

2a = -16, so a = -8.

$a^2 = (-8)^2 = 64$

The perfect square trinomial is $x^2 - 16x + 64$

d. x2 + 9x +

$2a = 9$, so $a = \frac{9}{2}$

$a^2 = (\frac{9}{2})^2 = \frac{81}{4}$

The perfect square trinomial is $x^2 + 9x + \frac{81}{4}$[/tex]