aestheticpasta12
Answered

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2. Given 4x² + bx + 25, select a possible b value that will make this factorable. [A] b=-50 [B] b = -29 [C] b = 10 [D] b= 100​

Sagot :

Answer:

b = 40 and -40

General form of Perfect square trinomial is

a

2

+

2

a

b

+

b

2

Therefore from

16

x

2

−

b

x

+

25

a

2

=

√

16

x

2

,

b

2

=

25

, then

a

=

±

4

x

,

b

=

±

5

take consideration a=4x and b=-5 (different sign), then

−

b

x

=

2

(

4

x

)

(

−

5

)

−

b

x

=

−

40

x

b

=

40

The perfect square is

(

4

x

−

5

)

2

=

16

x

2

−

40

x

+

25

.

if we consider a=4x and b=5 (same sign), then

−

b

x

=

2

(

4

x

)

(

5

)

−

b

x

=

40

x

b

=

−

40

The perfect square is

(

4

x

+

5

)

2

=

16

x

2

+

40

x

+

25

.

The first solution

(

4

x

−

5

)

2

is the best solution after comparing the expression given.

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