Construct an Algebraic Expression Using a=1, b=1, c=0

Question

Create an algebraic expression based on the following parameters:

a=1,b=1,c=0 a=1,b=1,c=0

Video Solution

Solution Steps

00:08 Let's start by converting the parameters into a quadratic function.
00:13 Next, we'll use the quadratic formula to lay out our equation.
00:23 Now, match each parameter to its variable in the formula.
00:43 Then, simplify the function to its simplest form.
00:49 And there you go, that's our final solution!

Step-by-Step Solution

To determine the algebraic expression, we will substitute the given parameters into the standard form of the quadratic function:

  • The standard quadratic form is y=ax2+bx+c y = ax^2 + bx + c .
  • Substitute a=1 a = 1 , b=1 b = 1 , and c=0 c = 0 into the equation.

Substituting these values, the expression becomes:

y=1x2+1x+0 y = 1 \cdot x^2 + 1 \cdot x + 0 .

This simplifies to:

y=x2+x y = x^2 + x .

Therefore, the algebraic expression, based on the given parameters, is x2+x x^2 + x .

Answer

x2+x x^2+x