Question

Which of the following shows the factors of 5x2 + 17x + 6?

A.
(5x + 1)(x + 6)
B.
(5x + 2)(x + 3)
C.
(5x + 3)(x + 2)
D.
(5x + 6)(x + 1)

Answer 1

B. (5x + 2)(x + 3)

Explanation:

(5x + 2)(x + 3)

5x · x + 5x · 3 + 2 · x + 2 · 3

5x² + 15x + 2x + 6

5x² + 17x + 6

Answer 2

B. (5x + 2)(x + 3)

Explanation:

Given expression is :
`\[5x^(2)+17x+6\]`

This can be written as:

`\[5x^(2)+15x+2x+6\]`

=>
`\[5x(x+3)+2(x+3)\]`

=>
`\[(5x+2)(x+3)\]`

So the given expression can be expressed as a factor of components,namely,

(5x+2) and (x+3)

So among the given options the correct solution is given by option B, that is, (5x + 2)(x + 3)