Write the quadratic equation whose roots are - 2 and 4, and whose leading coefficient is 5.

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Mathematics

21 August, 15:00

Write the quadratic equation whose roots are - 2 and 4, and whose leading coefficient is 5.

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Answers (2)

Know the Answer?

Tipr · Answer 1

Answer:5x^2-10x-40=0

Step-by-step explanation:

x=-2 or x=4

x+2=0 or x-4=0

(x+2) (x-4) = 0

x^2-4x+2x-8=0

x^2-2x-8=0

Multiply the equation by 5

5x^2-10x-40=0

Bellbottoms · Answer 2

10x2 + 30x - 40

Step-by-step explanation:

If the two roots are - 2 and 4 then the factors shall be;

5 (x+2) (x-4)

5 is the leading coefficient.

FOIL:

f (x) = 5 (x2+4x+2x-8) =

f (x) = 5 (x2+6x-8) =

f (x) = 10x2 + 30x - 40