Which of the following expressions represents the product of the roots of the po

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Question: Which of the following expressions represents the product of the roots of the polynomial h(x) = x^2 - 4x + 4?

Options:

Correct Answer: 4

Solution:

The product of the roots of a quadratic polynomial ax^2 + bx + c is given by c/a. Here, c = 4 and a = 1, so the product is 4.

Which of the following expressions represents the product of the roots of the polynomial h(x) = x^2 - 4x + 4?

Which of the following expressions represents the product of the roots of the polynomial h(x) = x^2 - 4x + 4?

Step 1: Identify the polynomial given in the question, which is h(x) = x^2 - 4x + 4.
Step 2: Recognize that this is a quadratic polynomial in the form ax^2 + bx + c.
Step 3: Identify the coefficients a, b, and c from the polynomial. Here, a = 1, b = -4, and c = 4.
Step 4: Recall the formula for the product of the roots of a quadratic polynomial, which is given by c/a.
Step 5: Substitute the values of c and a into the formula. Here, c = 4 and a = 1.
Step 6: Calculate the product of the roots: 4 / 1 = 4.
Step 7: Conclude that the product of the roots of the polynomial h(x) = x^2 - 4x + 4 is 4.

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