Question

factors of polynomial
$2 {m}^{2} + 5m - 3$
​

Answer 1

Question:

Factorise the polynomial 2m² + 5m - 3.

Answer:

(m + 3)(2m - 1)

$\rule{90mm}{2pt}$

Step-by-step explanation:

Given polynomial is 2m² + 5m - 3. We need to find out the factors of it.

Now, the give polynomial is in the form ax² + bx + c. To find it's factor; split the middle term which is 'b' in such a way that it's sum is 'b' and product is 'ac'.

→ 2m² + 5m - 3

Here, (6m - m) is the perfect split of 5m as the sum of (6m and -m) is 5m and product is 6m².

→ 2m² + 6m - m - 3

Now, take 2m common from (2m² + 6m) and -1 from (-m - 3).

→ 2m(m + 3) -1(m + 3)

Take m + 3 as common,

→ (m + 3)(2m - 1)

Hence, the factors of the polynomial are (m + 3)(2m - 1).