Question

2x²+7x+3 factorise the following polynomial

Answer 1

Answer:

(2x+1)(x+3)

Step-by-step explanation:

2x^2+7x+3 =2x^2+6x+x+3 =2x*(x+3)+x+3  =(2x+1)(x+3)

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