The factors of the polynomial 4 x 2-12 x -9 areA- x-3x-3B- 2 x-32 x-3C- 2 x-32 x-3D- 2 x-32 x-3

The correct option is B (2x + 3) ( 2x + 3)4x2 + 12x + 9 a = 4, b = 12, c=9 ac = 36 = 6 x 6 b = 12 = 6 + 6 4x2 + 6x + 6x + 9 = 2x( 2x + 3 ) + 3( 2x + 3 ) = ...

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Byju's Answer

Standard IX

Mathematics

Identity (x+y)(x-y)

The factors o...

Question

The factors of the polynomial 4x²+ 12x + 9 are

(x + 3) (x + 3)

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(2x - 3) ( 2x + 3)

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(2x - 3) ( 2x - 3)

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(2x + 3) ( 2x + 3)

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Solution

The correct option is D
(2x + 3) ( 2x + 3)

4x² + 12x + 9

a = 4, b = 12, c=9

ac = 36 = 6 x 6

b = 12 = 6 + 6

4x² + 6x + 6x + 9

= 2x( 2x + 3 ) + 3( 2x + 3 )

= (2x + 3)(2x + 3)

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Similar questions

$(4 x^{2} + 4 x - 3)$ =?

(a) $(2 x - 1) (2 x - 3)$

(b) $(2 x + 1) (2 x - 3)$

(d) None of these

$2 x^{2} + 5 x + 3 = ? (a) (x + 3) (2 x + 1) (b) (x + 1) (2 x + 3) (c) (2 x + 5) (x - 3) (d) n o n e o f t h e s e$

Q. Tick (✓) the correct answer:
2x² + 5x + 3 = ?
(a) (x + 3)(2x + 1)
(b) (x + 1)(2x + 3)
(c) (2x + 5)(x − 3)
(d) none of these

Q. Solve the given quadratic equation by factorization method

\frac{2 x}{x - 3} + \frac{1}{2 x + 3} + \frac{3 x + 9}{(x - 3) (2 x + 3)} = 0

Q. Solve

\frac{2 x}{x - 3} + \frac{1}{2 x + 3} + \frac{3 x + 9}{(x - 3) (2 x + 3)} = 0

, then

x + 1

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The factors of the polynomial 4x 2+ 12x + 9 are

The correct option is D (2x + 3) ( 2x + 3)4x2 + 12x + 9 a = 4, b = 12, c=9 ac = 36 = 6 x 6 b = 12 = 6 + 6 4x2 + 6x + 6x + 9 = 2x( 2x + 3 ) + 3( 2x + 3 ) = (2x + 3)(2x + 3)

The factors of the polynomial 4x²+ 12x + 9 are

The correct option is D
(2x + 3) ( 2x + 3)

4x² + 12x + 9

a = 4, b = 12, c=9

ac = 36 = 6 x 6

b = 12 = 6 + 6

4x² + 6x + 6x + 9

= 2x( 2x + 3 ) + 3( 2x + 3 )

= (2x + 3)(2x + 3)