Find the Coefficient of x in y=3x²+10-x: Identifying Linear Terms

Question

a = Coefficient of x²

b = Coefficient of x

c = Coefficient of the independent number


what is the value of b b in the equation

y=3x2+10x y=3x^2+10-x

Video Solution

Solution Steps

00:00 Find coefficient B
00:03 We'll use the quadratic equation formula
00:13 We can see that coefficient B is for the X term
00:19 Let's arrange the equation to match the formula
00:22 Let's compare the formula with our equation and find the coefficients:
00:34 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we need to identify the coefficient of x x in the given quadratic equation. The equation given is y=3x2+10x y = 3x^2 + 10 - x . Let’s rearrange this equation to match the standard form of a quadratic equation ax2+bx+c ax^2 + bx + c .

The given equation can be rewritten as:

y=3x2x+10 y = 3x^2 - x + 10

Here, we can identify the coefficients:

  • a=3 a = 3 (for x2 x^2 )
  • b=1 b = -1 (for x x )
  • c=10 c = 10 (the constant term)

Therefore, the value of b b , the coefficient of x x , is 1 -1 .

Answer

b=1 b=-1