Alg I
posted by Jane .
Factoring ax^2 + bx + c
Find two different values that complete each expression so that the trinomial can be factored into the product of two binomials. Factor your trimonials.
4n^2+ __n  3
Please explain and solve.

I multiplied the first and last to get 12
(4)(3) = 12
now what factors give me 12 ?
could be 4, 3 or 4, 3 or 6, 2 or 6, 2
for each pair, their sum has to go in the middle, so
we could have:
4n^2 + n  3
4n^2 n  4
4n^2 + 4n  3
4n^2  4n  3
each of these WILL factor
e.g.
4n^2 + 4n  3 = (2n1)(2n+3)
Respond to this Question
Similar Questions

Algebra II factoring
I need help. i am having trouble factoring trinomials into binomials. an example problem is 4n^25n6 can someone show me step by step how to factor these kind of problems easily? 
Factoring Polynomials
The book says: Find three different values that complete the expression so that the trinomial can be factored into the product of two binomials. Factor your trinomials. 4g^2+___g+10 Okay, I tried Hotmath, but it didn't explain ALL … 
math
Consider the following binomials. A=(x^2+5x) B=(6x+30) Part 1: Factor each binomial by finding the GCF. Then, add the two factored binomials to make a single expression. Part 2: Now add the original forms of binomial A and B together … 
math
Consider the following binomials. A=(x^2+5x) B=(6x+30) Part 1: Factor each binomial by finding the GCF. Then, add the two factored binomials to make a single expression. Part 2: Now add the original forms of binomial A and B together … 
math
Consider the following binomials. A=(x^2+5x) B=(6x+30) Part 1: Factor each binomial by finding the GCF. Then, add the two factored binomials to make a single expression. Part 2: Now add the original forms of binomial A and B together … 
Math
find a value to complete the expression x^2 + ? 
Algebra
Find two binomials whose product is x^2  6x + 9 and explain how you decided on those two binomials. Thank you! :) 
Math070
Is (x3)(3x+6) factored out completely? Also will a trinomial always factor as the product of two binomials. 
algebra
factor the following expression into a product of two binomials. 64x^264x+16 
algebra 1
3) for any factorable trinomial x^2+bx+c, will the absolute value of b sometimes,always, or never be less than the absolute value of c?