Question

Which number is a zero of h(x) = (x - 49)(x + 4)?

A. 0
B. 4
C. 7
D. 49

Answer 1

The zeros of the function h(x) are the values x = 49 and x = -4. Since 49 is one of the offered options, the correct answer is D. 49.

Step-by-step explanation:

The zeros of the function h(x) = (x - 49)(x + 4) are the values of x that make h(x) equal to zero. To find these zeros, we need to set each factor in the equation equal to zero, because a product of factors equals zero if and only if at least one of the factors is zero.

For the first factor (x - 49), we set it equal to zero and solve for x:

• x - 49 = 0
• x = 49

For the second factor (x + 4), we also set it equal to zero and get:

• x + 4 = 0
• x = -4

Therefore, the zeros of the function h(x) are 49 and -4. Looking at the options provided, the correct answer is 49 (Option D). Option A (0) and Option B (4) are not zeros of the function. Option C (7) is not related to the factors given in the function.