Question

Which of the binomials below is a factor of this trinomial
x^2-13+42​

Answer 1

x-7 For AP EX peeps

Explanation:

Answer 2

`\boxed{ \bold{ \boxed{ \sf{(x - 7)(x - 6)}}}}`

Explanation:

`\sf{ {x}^(2) - 13x + 42 }`

Here, we have to find the two numbers that adds to 13 and multiplies to 42.

The numbers are 7 and 6

`\sf{ {x}^(2) - (7 + 6)x + 42}`

⇒
`\sf{ {x}^(2) - 7x - 6x + 42}`

Factor out x from the expression

⇒
`\sf{x(x - 7) - 6x + 42}`

Factor out 6 from the expression

⇒
`\sf{x(x - 7) - 6(x - 7)}`

Factor out x - 7 from the expression

⇒
`\sf{(x - 7)(x - 6)}`

Hope I helped!

Best regards!!