Question

4x square + 8x + 4 plz answer this

Answer 1

so ur answer is -1 .......hope it helps

Answer 2

Answer

The factorized form of the given quadratic polynomial is

(2x + 1)(2x + 1)

And the zeroes are

-1 and -1

Step by step explanation

Given the quadratic polynomial

4x² + 8x + 4

Factorization through splitting the middle term

= 4x² + 4x + 4x + 4

= 4x( x +1) + 4(x + 1)

= (4x + 4)(x +1)

= 4(x +1)(x + 1)

= 2²×(x + 1)²

= {2× ( x + 1)}²

= (2x + 2)²

= (2x + 2)(2x + 2)

Alternative Method for factorization using formula

4x² + 8x + 4

= (2x)² + 2×(2x)×(2)

= (2x + 2)²

= (2x + 2)(2x + 2)

Formula used

(a + b)² = a² + 2ab + b²

Now the zeroes of the polynomial are

2x + 2 = 0

⇒2x = -2

⇒x = -1

and

2x + 2= 0

⇒2x = -2

⇒x = -1