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alisha [4.7K]
2 years ago
10

Select the polynomial that is a perfect square trinomial. 36x2 − 4x 16 16x2 − 8x 36 25x2 9x 4 4x2 20x 25.

Mathematics
1 answer:
Naya [18.7K]2 years ago
3 0

The polynomial a,b,c,are not perfect square polynomial and the polynomial d is perfect square polynomial.

The given polynomial is

a) 36x^2-4x+16

What is the form of perfect square polynomial?

(ax+b)^2

we solve this method by using perfect square method

add and subtract 1/9

36x^2-4x+16+\frac{1}{9}-\frac{1}{9}

factor 36

\frac{143}{9}+36(x^2-\frac{x}{9}+\frac{1}{324} )

Now complete the square

\frac{143}{9}+36(x^2-\frac{1}{18})^2

Therefore this is not perfect square trinomial.

Similarly for

b) 16x^2-8x+36

Complete square is,

16(x-\frac{1}{4})^2+35

This polynomial is also not perfect square trinomial.

c) 25x^2+9x+4\\

complete square is,

25(x+\frac{9}{50})^2+\frac{319}{100}

This polynomial is not perfect square trinomial.

d)4x^2+20x+25\\

complete square is,

(2x+5)^2

This polynomial is perfect square trinomial.

Therefore,

The polynomial a,b,c,are not perfect square polynomial and the polynomial d is perfect square polynomial.

To learn more about perfect square trinomial visit:

brainly.com/question/1538726

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