Answer:
2x^4-11x^2+5=0
Step-by-step explanation:
3.1 Factoring 2x4-11x2+5
The first term is, 2x4 its coefficient is 2 .
The middle term is, -11x2 its coefficient is -11 .
The last term, "the constant", is +5
Step-1 : Multiply the coefficient of the first term by the constant 2 • 5 = 10
Step-2 : Find two factors of 10 whose sum equals the coefficient of the middle term, which is -11 .
-10 + -1 = -11 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -10 and -1
2x4 - 10x2 - 1x2 - 5
Step-4 : Add up the first 2 terms, pulling out like factors :
2x2 • (x2-5)
Add up the last 2 terms, pulling out common factors :
1 • (x2-5)
Step-5 : Add up the four terms of step 4 :
(2x2-1) • (x2-5)
Which is the desired factorization
