Question

Factorize the following expressions: 18x + 3x – 10​

Answer 1

Answer:

18x² + 3x – 10

=18x²+15x-12x-10

=3x(6x+5) -2(6x+5)

=(3x-2) (6x+5)

Answer 2

Correct Question

Factorise : 18x²+3x-10

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

18x²+3x-10

It is in the form of a quadratic equation e.g ax²+bx+c so ,we simply factorise

How to factorise..??

step1: Multiply the constant term with coefficient of x square.suppose we obtain 'z' after multiplying

step 2:Think of a number whose sum equal to the coefficient of middle term and product makes the 'z'

step 3: Now split the middle term by factors of that number which you think.

step 4:At last take common and compare with equal to 0 we obtain the roots .

18x²+3x-10

18×10=180

now, factors of 180 =2×2×3×3×5

we need to make 3 by adding or subtracting

15-12=3

=>18x²+15x-12x-10

=>3x(6x+5)-2(6x+5)

=>(3x-2)(6x+5)

3x-2=0

x=2/3

6x+5=0

x=-5/6

∴X=2/3 ,x=5/6