Question

24. What are the factors of 2x^2+5x+3=0
A. (2x+3)(x+1)
B. (2x-1)(x-3)
C. (2x+1)(x+3)
D. (2x-3)(x-1)
E. None of the above

Answer 1

Answer:

The correct answer is option (A)  

Step-by-step explanation:

 $2x^2+5x+3$, given expression

$=2x^2+2x+3x+5$, split the middle term

$=(2x^2+2x)+(3x+3\\=2x(x+1)+3(x+1)\\=(x+1)(2x+3)$

Answer 2

Answer:

Question :-

24. What are the factors of 2x² + 5x + 3 = 0

A. (2x + 3) (x + 1)

B. (2x - 1) (x - 3)

C. (2x + 1) (x + 3)

D. (2x - 3) (x - 1)

E. None of the above

Solution :-

✪ 2x² + 5x + 3 = 0

➞ 2x² + (3 + 2)x + 3 = 0

➞ 2x² + 3x + 2x + 3 = 0

➞ x(2x + 3) + 1(2x + 3) = 0

➞ (2x + 3) (x + 1) = 0

Correct option (A) (2x + 3) (x + 1)