Question

3x^2-24x+48 pls help me

Answer 1

This polynomial is either a function like f(x), or it's just =0 and it's solved by a quadratic equation.

Step-by-step explanation:

Let's say it's equal to 0, we can easily divide the whole expression with 3, as obviously 3,24,48 have the same divisor(3), then we are left with:

x²-8x+16=0, then we apply the quadratic equation, and we got only 1 solution and that's x=4

If it is a function f(x), than it will have roots(root of a quadratic function is the x-coordinate where y=0, basically when the parabola intersects the x-axis(y=0), as we'll get that the only root is x=4

Answer 2

To solve the expression 3x^2 - 24x + 48, we can factor it by grouping into 3(x - 4)(x - 4).

Step-by-step explanation:

To solve the expression 3x^2 - 24x + 48, we can factor it by grouping.

1. First, find the greatest common factor (GCF) of the terms in the expression. In this case, it's 3.
2. Divide each term in the expression by the GCF. This gives us 3(x^2 - 8x + 16).
3. Now, factor the trinomial inside the parentheses. We need to find two numbers that multiply to give 16 and add up to -8. The numbers -4 and -4 satisfy these conditions, so we can rewrite the expression as 3(x - 4)(x - 4)

Therefore, the factored form of 3x^2 - 24x + 48 is 3(x - 4)(x - 4).

Learn more about Factoring trinomials