Question

Write a quadratic expression with roots -4 and -3 and leading coefficient of 2

Answer 1

The quadratic equation is: $x^2+7x+12=0$ with roots of -4 and -3 and leading coefficient of 2

Step-by-step explanation:

We need to write the quadratic expressions with roots -4 and -3 and leading co-efficient of 2.

If -4 and -3 are roots then,

x=-4 and x=-3

x+4=0 and x+3=0

Multiplying both roots:

(x+4)(x+3)=0

Solving to find the quadratic expressions:

$(x+4)(x+3)=0\\x(x+3)+4(x+3)=0\\x^2+3x+4x+12=0\\x^2+7x+12=0$

So, the quadratic equation is: $x^2+7x+12=0$ with roots of -4 and -3 and leading coefficient of 2

Keywords: Quadratic Equation

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