gr.10 math!
posted by Saira .
factor the equation: 6x^2+15x+36
please show me the steps in answering this problem.
thanksss..)

What are the factors of 1000

6x^2+15x+36 is an expression. An equation has an equal sign.
First take out common factors
3(2x²5x12)
Now concentrate on the part in parentheses.
Make a table of possible combinations of factors that multiply to the constant term (12) and put them in the first two columns. For example, 1 and 12.
Multiply the first column by the coefficient of the term in x² (2) and add to the second column. Put the result in the third column (1*2 + 12 = 10):
1 12 10
Compare the third column with the coefficient of the term in x, i.e. 5. If they compare, you have found the factors: (x+A)(2x+B) where A and B are the numbers in the first and second columns.
Let's continue:
A B 2*A+B
#1 12
12 1 12*2+(1)=23
#2 6
4 3 2*43=5 (Found, but wrong sign)
4 3 2*(4)+3=5 (switched sign)
# Since we have already taken out all common factors, we do not have to check cases where B is even, which makes 2x+2k (k=integer).
The intermediate answer is (x4)(2x+3).
Check by expanding: 2x²8x+3x12=x²5x12
The final answer is 3(x4)(2x+3).
Respond to this Question
Similar Questions

math
turn this equation: X2 (X to the second power)+16x+15x I'm suppose to use the Distributive Property to factor this expression......HOW? 
factor the trinomial by grouping
15x^39x^26x Can someone please show me how to factor completely.. trying to learn how to do factoring 
Math
Factor each expression by grouping. Can you please show me the steps on how you get your answer so I know how to do the problem thank you. 9p^2+mn^2+9m+p^2n^2 
Math
How would you factor this (3x^2+x)+ (3x+1).... Can you please show ur steps on how u get the answer so I understand how to do the problem. Thank You 
math
Factor each expression by grouping. Can you please show me the steps on how you get your answer so I know how to do the problem thank you. 9p^2+mn^2+9m+p^2n^2 
Math
How would you factor this (3x^2+x)+ (3x+1).... Can you please show ur steps on how u get the answer so I understand how to do the problem. Thank You 
math calculus
(24x^354x^215x)/(6x^215x) i don't factor number from whole equation way i do it is find number that add to give me 54 and multiply to give 360. the number i get 60 and +6. so i do this: 24x^360x+6x15x i factor this further … 
Math
Solve for x: x^415X^2+14=0 How would I solve this problem? 
Algebra
I need help trying to put the correct vocabulary words when solving this problem such as grouping, factor, prime factor, GCF, and perfect square, and please check and see if I am doing this correctly. 15x^2+31x+2 In my last problem … 
Algebra
I need help trying to put the correct vocabulary words when solving this problem such as grouping, factor, prime factor, GCF, and perfect square, and please check and see if I am doing this correctly. 15x^2+31x+2 In my last problem …