Question

How would you factor this problem?

Answer 1

\[x ^{4}+3x ^{2}-10\]

Answer 2

y=x^2

Answer 3

y^2+3y-10

Answer 4

solve for y and then substitute back y=x^2

Answer 5

But I'm just factoring it?

Answer 6

you need the zero points so you can factor it in the form (x^2-x1)(x^2-x2)

Answer 7

Let \[x ^{2} = y \]
Then the expression can be re-written as:\[y ^{2} + 3y - 10\]
which is nothing but
\[(y+5)*(y-2)\]
That is, on substituting back y = x^2
\[(x ^{2} + 5)*(x ^{2} - 2)\]

Answer 8

The factors therefore, are
\[(x ^{2} + 5) and (x ^{2} - 2)\]

Answer 9

(x^2-2) can be further factored to (x-sqrt(2))(x+sqrt(2))

Answer 10

Oh! Thanks! @Saikam

Answer 11

yea, @nistal is correct. You can further factorize x^2 - 2