Question

What values are needed to make each expression a perfect square trinomial?

Answer 1

You need a number such that  it =  (half coefficient of x )^2

so for the first one: 1/2 * 2 = 1  ,   1^2 = 1   So answer is 1 

second:  1/2 * -20 = -10  , (-10)^2 = 100  

third one 1/2 * 5 = 2.5 and 2.5^2 = 6.25

Answer 2

Answer:

1) 1  2)100 3)6.25.

Step-by-step explanation:

Any  trinomial is of the form ax^2+bx+c .

To make the expression a perfect square we take half of b term then square it Add $(\frac{b}{2})^2$This is what we add to make the expression a perfect square.

1)Half of coefficient of x term is 1 .

Square it that is 1 is added to make it a perfect square.

$x^{2}+2x+1$

2) Half of coefficient of x term that is 20÷2=10 .Square it that is 100 is added to make it a perfect square.

$x^{2} -20x+100$

3) Half of coefficient of x that is 5÷2=2.5.Square it 6.25 is added to the expression to make it a perfect sqauare.

$x^{2} +5x+6.25.$