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## Write the quadratic equation whose roots are -6 and -1, and whose leading coefficient is 2.

Question

Write the quadratic equation whose roots are -6 and -1, and whose leading coefficient is 2.

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Mathematics
3 years
2021-07-23T20:03:14+00:00
2021-07-23T20:03:14+00:00 1 Answers
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## Answers ( )

Answer:Y= 2x^2+14x+12

Explaination:

When it gives you the roots you can automatically change the sign and put them with the x in factors such as

y = (x+6)(x+1)

Then you put the leading coefficient of 2

y = 2(x+6)(x+1)

Then to get it in standard form you distribute the parenthesis the the 2 to get:

Y= 2x^2+2x+12x+12

Combine like terms and you’ll answer will be

Y= 2x^2+14x+12