Question

Factorise 2x² + 7x + 3 using factor theorem

Answer 1

hey !!!

2x² + 7x + 3

=> 2x² + 6x + x + 3 [by using spliting method ]

=> 2x ( x + 3 ) + 1 ( x + 3 )

=>( 2x + 1 ) (x+1 ) is factor of this equation .

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Hope it helps you !!!

@Rajukumar111

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