Question

Sven tried to write 226 + 4x4 – 30m2 as a product of linear factors. This is his work:226 + 4x4 - 30x2= 2x² (24 + 2x2 – 15)Step 1= 2x²(x² – 3)(x2 + 5)Step 2= 2x²(x² – 3)(x + iv5)(x - iV5)Step 3= 2x²(x + iv3)(x – iV3)(2+iV5)(2 – iV5) Step 4In what step did Sven make his first mistake?Choose 1 answer:

Answer 1

The factor of the binomial (x² - 3) is

`(x^2-3)\Longrightarrow(x+\sqrt[]{3})(x-\sqrt[]{3})`

Therefore, Sven made his mistake on step 4.