Question

What is the factored form of 6x2 + 11x – 10? (2x + )( x – )

Answer 1

Answer:

$6x^2+11x-10=(2x+5)(3x-2)$

Step-by-step explanation:

we are given

$6x^2+11x-10$

We can factor it

$6x^2+11x-10=6x^2+15x-4x-10$

we can use grouping method

$6x^2+11x-10=(6x^2+15x)-(4x+10)$

now, we can take out common terms

$6x^2+11x-10=3x(2x+5)-2(2x+5)$

we can take 2x+5 from both terms

$6x^2+11x-10=(2x+5)(3x-2)$

so, we get factor terms as

$6x^2+11x-10=(2x+5)(3x-2)$

Answer 2

$6x^2+11x-10=6x^2+15x-4x-10=3x(2x+5)-2(2x+5)\\\\=(2x+5)(3x-2)\\\\Answer:\ \boxed{6x^2+11x-10=(2x+5)(3x-2)}$