Question

What is the factor of 18x²+3x-15

Answer 1

Answer:

Multiply 18x² with 15 and get their LCM.

Then,

Step 1 .} 18x² + 18x - 15x - 15

Step 2.} 18x (x+1) - 15 ( x+1)

Step 3.}. (x+1) (18x - 15)

Step 1 me mein 18x² ko 15 se multiply Karke , Dino number Ka LCM nikali.

LCM Hoga 270. 270 Ka factors ko Maine arrange kiya taki usko products -15 Aaye auur sum 18x Aaye.

Thanks.........

Answer 2

The factor of the given equation 18x²+3x-15 is 5/6 or -1

Step-by-step explanation:

Given:

equation = 18x²+3x-15

To find:

factors of the equation

Solution:

First, multiply the last term and first term

here, 15 X 18 = 270

We take out the factors of 270 by the LCM method and get 5x6x3x3

Multiplying and simplifying the factors into two terms whose difference will be the middle term of the equation (here 3)

We get 6x3=18 & 5x3=15 as our factors

Now, replace the middle term(3) with these factors

∴ $18x^{2} +3x-15$

∴ $18x^{2} +18x-15x-15$

Taking common terms 18x & (-15) out

∴ $18x (x+1) -15 (x+1)$

∴ $(18x-15) (x+1)$ = 0

∴ $(18x-15)=0$  or  $(x+1)=0$

∴ $18x = 15$ or $x=-1$

∴ $x=\frac{15}{18}$ or $x=-1$

∴ $x=\frac{5}{6}$ or $x=-1$

Hence, the factors of the equation are $\frac{5}{8}$ or $-1$

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