Question

How do i factor 12b^2+14b-10 using one of the six techniques for factoring polynomials?

Answer 1

Simplifying

b2 + 12b + 35 = 0

Reorder the terms:

35 + 12b + b2 = 0

Solving

35 + 12b + b2 = 0

Solving for variable 'b'.

Factor a trinomial.

(7 + b)(5 + b) = 0

Subproblem 1

Set the factor '(7 + b)' equal to zero and attempt to solve:

Simplifying

7 + b = 0

Solving

7 + b = 0

Move all terms containing b to the left, all other terms to the right.

Add '-7' to each side of the equation.

7 + -7 + b = 0 + -7

Combine like terms: 7 + -7 = 0

0 + b = 0 + -7

b = 0 + -7

Combine like terms: 0 + -7 = -7

b = -7