Question

Write the quadratic equation whose roots are 6 and -5, and whose leading coefficient is 3

Answer 1

Answer:

$y= 3x^2-3x-90$

Step-by-step explanation:

Intercepts form of quadratic equation is

y= a(x-p) (x-q) where 'a' is the leading coefficient

p  and q  are the roots

Given that 6  and -5  are the roots

so p = 6  and q= -5

Leading coefficient a= 3

Plug in all the values in the equation

y= a(x-p) (x-q)

y= 3(x-6) (x-(-5))

y= 3(x-6) (x+5)

Now we  multiply the parenthesis

$y= 3(x^2+5x-6x-30)$

$y= 3(x^2-x-30)$

Multiply 3 inside the parenthesis

$y= 3x^2-3x-90$