Question

3x^2+5x-2 factorise​

Answer 1

Answer:

3x2+5x+2

3x2 +3x +2x +2

3x(x+1) +2(x+1)

(3x+2)(x+1)

Answer 2

Answer:

The factorization of the polynomial $3x^2+5x-2$ are $x+2$ and $3x-1$.

Step-by-step explanation:

Step 1 of 2

Consider the given quadratic polynomial as follows:

$3x^2+5x-2$

Using the middle term splitting method,

We need to find two integers $a$ and $b$ such that $a+b=5$ and $ab=-6$.

Look into the pairs of factors of $-6$.

$-1$ and $6$,  $-6$ and $1$,  $2$ and $-3$,  $3$ and $-2$ are the pairs of factors of $-6$.

Notice that the pair $-1$ and $6$ gives sum as $5$ and the product as $-6$.

Step 2 of 2

Factorizing the given polynomial as follows:

⇒ $3x^2+6x-x-2$

⇒ $3x(x+2)-1(x+2)$

Taking the term $(x+2)$ common out.

⇒ $(x+2)(3x-1)$

Therefore, the factorization of the polynomial $3x^2+5x-2$ are $x+2$ and $3x-1$.

#SPJ2