SOLUTION: Write the quadratic equation whose roots are -2 and 5, and the leading coefficient is 2. (Use the letter x to reepresent the variable. Thank you!

Question 455367: Write the quadratic equation whose roots are -2 and 5, and the leading coefficient is 2. (Use the letter x to reepresent the variable. Thank you!
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
Since the roots are -2 and 5, then the obvious factors are:
(x+2)(x-5) = 0
BUT
You're told the coefficient of the x^2 term is 2.
(2x+4)(x-5) = 0
2x^2 -10x +4x -20 = 0
2x^2 -6x -20 = 0
.
Notice that you could divide through by 2.
x^2 -3x -10 = 0
(x+2)(x-5) = 0
.
Done
RELATED QUESTIONS
Write the quadratic equation whose roots are -1 and 2 , and whose leading coefficient is (answered by Boreal)

Write the quadratic equation whose roots are -1 and 2 , and whose leading coefficient... (answered by ankor@dixie-net.com)

Write the quadratic equation whose roots are −4 and 1 , and whose leading... (answered by MathLover1)

Write the quadratic equation whose roots are −4 and 6, and whose leading coefficient... (answered by MathLover1)

Write the quadratic equation whose roots are -4 and 6, and whose leading coefficient is 2 (answered by MathLover1)

Write the quadratic equation whose roots are -2 and 1, and whose leading coefficient is... (answered by Alan3354,ikleyn)

Write thee quadratic equation whose roots are -1 and 2 and whose leading coefficient is... (answered by oscargut)

write the quadratic equation whose roots are -4 and -5 and whose leading coefficient is 5 (answered by nerdybill)

Write the quadratic equation whose roots are 5 and 1, and whose leading coefficient is 5. (answered by Alan3354)