Question

Factorize 3x²+17x+ 10​

Answer 1

3x²+17x+10

3x²+15x+2x+10

×(3×+15)+2(×+5)

(×+2)(3×+15)(×+5)

Answer 2

Answer:

(3x + 2)(x + 5) is the factorised form

Step-by-step explanation:

3x ^ 2 + 17x + 10

We can Split the Middle Term of this expression to factorise it.

In this technique, if we have to factorise an expression like a * x ^ 2 + bx + c , we need to think of 2 numbers such that:

N 1 * N 2 =a* c=3*10=30

and,

N_{1} + N_{2} = b = 17

After trying out a few numbers we get N_{1} = 15 and N_{2} = 2

15 * 2 = 30 , and 15 + 2 = 17

3x ^ 2 + 17x + 10 = 3x ^ 2 + 15x + 2x + 10

=3x(x+5)+2(x+5)

(3x + 2)(x + 5) is the factorised form of the expression. of the expression.