Question

factorise
$2x {}^{2} + 7x + 3$
​

Answer 1

hey mate!

here is ur answer

Answer:

x=-3,-1/2 are the zeroes of the quadratic equation

Step-by-step explanation:

$2 {x}^{2} + 7x + 3 = 0$

$2 {x}^{2} + 6x + x + 3 = 0$

$2x(x + 3) + 1(x + 3) = 0$

$(2x + 1)(x + 3) = 0$

$x = - 3 \\ x = \frac{ - 1}{2}$

hope the answer helps u

Answer 2

★ Given :

Polynomial : 2x² + 7x + 3

$\rule{200}{1}$

★ To Find :

We have to factoris the polynomial by spliting the middle term.

$\rule{200}{1}$

★ Solution :

Making factors of polynomial.

→ 2x² + 6x + 1x + 3 = 0

→ 2x(x + 3) + 1(x + 3) = 0

→ (2x + 1)(x + 3) = 0

→ 2x + 1 = 0

→ 2x = -1

→ x = -1/2

Or

→ x + 3 = 0

→ x = -3

$\rule{200}{1}$

For factorising we have to follow these given below steps :

Let polynomial be ax² + bx + c = 0

(1). Firstly we will multiply a and c.

(2). Then we will make the factors of their product.

(3). The factors must be equal to b on adding or subtracting.

(4). Then, we will take common