Question

Which of the following polynomials has zeros at x = -4 and x=7?

4x2.7x- 11
4x2.49
7x2-4x+28
x2-3x - 28

Answer 1

Option 4 only matches with the expression.

Explanation:

If the quadratic polynomial of single variable has zeros at x = -4 and at x = 7, then it is clear that the polynomial has only two factors which are (x + 4) and (x - 7)

Therefore, the function will be

f(x) = (x + 4)(x - 7) = x(x - 7) + 4(x - 7) = x² - 7x + 4x - 28 = x² -3x - 28.

So, option 4 only matches with that expression. (Answer)