The given expression is x^4 - 16x^3 + 15x^2.

Step 1: First, we can factor out the common factor from each term. In this case, the common factor is x^2. So, we get:

x^2(x^2 - 16x + 15)

Step 2: Now, we can factor the quadratic expression inside the parentheses. The factors of 15 that add up to -16 are -1 and -15. So, we get:

x^2(x - 1)(x - 15)

So, the completely factored form of the given expression is x^2(x - 1)(x - 15).

Question

The given expression is x^4 - 16x^3 + 15x^2.

Step 1: First, we can factor out the common factor from each term. In this case, the common factor is x^2. So, we get:

x^2(x^2 - 16x + 15)

Step 2: Now, we can factor the quadratic expression inside the parentheses. The factors of 15 that add up to -16 are -1 and -15. So, we get:

x^2(x - 1)(x - 15)

So, the completely factored form of the given expression is x^2(x - 1)(x - 15).

Knowee AI · Accepted Answer

The given expression is x^4 - 16x^3 + 15x^2.

Step 1: First, we can factor out the common factor from each term. In this case, the common factor is x^2. So, we get:

x^2(x^2 - 16x + 15)

Step 2: Now, we can factor the quadratic expression inside the parentheses. The factors of 15 that add up to -16 are -1 and -15. So, we get:

x^2(x - 1)(x - 15)

So, the completely factored form of the given expression is x^2(x - 1)(x - 15).

Factor completely.x, to the power 4 , minus, 16, x, cubed, plus, 15, x, squaredx 4 −16x 3 +15x 2