Factor the polynomial 4x4 – 20x2 – 3x2 + 15 by grouping. What is the resulting expression? (4x2 + 3)(x2 – 5) (4x2 – 3)(x2 – 5) (4x2 – 5)(x2 + 3) (4x2 + 5)(x2 – 3)
Mathematics · High School · Tue Nov 03 2020
Answered on
Given the equation:
4x^4 - 20x^2 - 3x^2 + 15
Factor the polynomial.
Solution:
In order to factor the given polynomial, we simply needed to group first the 1st and 2nd term, then 3rd and 4th term.
= 4x^4 - 20x^2 - 3x^2 + 15
= (4x^4 - 20x^2) + (-3x^2 + 15)
Factor out the greatest common factor in the two groupings.
= 4x^2 ( x^2 - 5 ) - 3 (x^2 - 5 )
Final answer:
= 4x^2 ( x^2 - 5 ) - 3 (x^2 - 5 )