Factor each polynomial. 10m^{4}+43m^{2}-9

Sam Longoria

Sam Longoria

Answered question

2021-12-11

Factor each polynomial.
10m4+43m29

Answer & Explanation

Ethan Sanders

Ethan Sanders

Beginner2021-12-12Added 35 answers

Step 1
10m4+43m29
Let u=m2
Replace it in our expression
10u2+43u9
Now factor it
We find out two factors whose product is 10 times -9 is -90
whose sum is 43
45*-2=-90
45+(-2)=43
Break the middle term using factors 45 and -2
10u2+43u9
(10u22u)+(45u9)
2u(5u-1)+9(5u-1)
(5u-1)(2u+9)
Step 2
Now we replace u with m2
(5u-1)(2u+9)
(5m21)(2m2+9)

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