Question

Factor the polynomial completely using any method. Show steps.
2d^4-13d^2-45

Answer 1

`\huge ( {2d}^(2) + 5)(d + 3)(d - 3)`

Explanation:

to understand this

you need to know about:

• factoring
• PEMDAS

given:

• 
  `2d^4-13d^2-45`

let's solve:

`2d^4-13d^2-45`

`2 {d}^(4) + 5 {d}^(2) - 18 {d}^(2) - 45 \\ {d}^(2) ( {2d}^(2) + 5) - 9( {2d}^(2) + 5) \\ ( {2d}^(2) + 5)( {d}^(2) - 9 )\\ ( {2d}^(2) + 5)(d + 3)(d - 3)`