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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