Question

Factorise30x+65x+25

Answer 1

if your question is 30x+65x+25
95x+25=5(19x+5)
But I think your question is 30x^2+65x+25
30x^2 + 65x + 25 = 5(6x^2 + 13x + 5); = 5(2x + 1)(3x + 5)

For factorizing 6x^2 + 13x + 5);

The first term is, 6x² its coefficient is 6 .
The middle term is, +13x its coefficient is 13 .
The last term, "the constant", is +5

Step-1 : Multiply the coefficient of the first term by the constant 6 • 5 = 30

Step-2 : Find two factors of 30 whose sum equals the coefficient of the middle term, which is 13 .

	-30	+	-1	=	-31
	-15	+	-2	=	-17
	-10	+	-3	=	-13
	-6	+	-5	=	-11
	-5	+	-6	=	-11
	-3	+	-10	=	-13
	-2	+	-15	=	-17
	-1	+	-30	=	-31
	1	+	30	=	31
	2	+	15	=	17
	3	+	10	=	13	That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 3 and 10
6x² + 3x + 10x + 5

Step-4 : Add up the first 2 terms, pulling out like factors :
3x • (2x+1)
Add up the last 2 terms, pulling out common factors :
5 • (2x+1)
Step-5 : Add up the four terms of step 4 :
(3x+5) • (2x+1)
Which is the desired factorization

Final result : 5 • (2x + 1) • (3x + 5)