MATH SOLVE

5 months ago

Q:
# Factor 6x4 – 5x2 + 12x2 – 10 by grouping. What is the resulting expression? (6x + 5)(x2 – 2) (6x – 5)(x2 + 2) (6x2 + 5)(x2 – 2) (6x2 – 5)(x2 + 2)

Accepted Solution

A:

The factored form of the expression is (x^2+2)(6x^2-5).We have given the expression 6x^4 – 5x^2 + 12x^2 – 10What is the factor of a polynomial?A factor of polynomial P(x) is any polynomial that divides evenly into P(x)Factoring by groupingGiven the expression 6x^4 – 5x^2 + 12x^2 – 10Group the terms to have(6x^4 – 5x^2) + (12x^2 – 10)Factor out the common valuesx^2(6x^2-5)+2(6x^2 - 5)(x^2+2)(6x^2-5)Therefore the factored form of the expression is (x^2+2)(6x^2-5).Learn more on factored form visit: