Write the quadratic equation whose roots are -4 and -6, and whose leading coefficient is 1

Question

Quadratic equation whose roots are -4 and -6, and whose leading coefficient is 1

Answer 1

Write the quadratic equation whose roots are -4 and -6, and whose leading coefficient is 1

the roots are -4 and -6

Therefore two factors are (x + 4) and (x + 6).

The equation from which these two factores are derived can be given be the product of the two factors, viz.

(x + 4)(x + 6) = 0

Any constant multiple of the above product is also a possible solution, i.e.

C*(x + 4)(x + 6) = 0

Multiplying out gives,

C*(x*2 + 10x + 24) = 0

If we set C = 1, then this quadratic would have a leading coefficient of 1.

The quadratic then is: x^2 + 10x + 24 = 0

Answer 2

X^2-2x-24=0