Question

Which is a factor of: 2x2+10x+8 ?

Answer 1

`\large{ \underline{ \underline{ \bf{ \pink{To \: factorise}}}}}`

• 2x² + 10x + 8

Factorisation:

By middle term factorisation,

⇛ 2x² + 2x + 8x + 8

⇛ 2x(x + 1) + 8(x + 1)

⇛ (2x + 8)(x + 1)

⇛ 2(x + 4)(x + 1)

☃️ Now you can break it down and check which are the factors of the polynomial according to options.

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Answer 2

2 ( x+4) ( x+1)

Explanation:

2x^2+10x+8

Factor out 2

2 ( x^2 +5x+4)

What two numbers multiply to 4 and add to 5

4*1 = 4

4+1 = 5

2 ( x+4) ( x+1)