Question

1. Which of the following functions is equivalent to
h(x) = 4x2 - 20x * 25?
A. h(x) = (x - 5)(4x - 5)
B. h(x) = (2x + 5)(2x - 5)
c. h(x) = (2x - 5)
D. h(x) = (2x + 5)2

Answer 1

Answer:

OPTION C: h(x) = (2x - 5)²

Step-by-step explanation:

Given: $h(x) = 4x^2 - 20x + 25$

This is a quadratic equation and the roots of the equation is:

$x = \frac{10}{2} , \frac{10}{2}$

⇒ $x = \frac{5}{2} , \frac{5}{2}$

$\therefore 2x = 5$

$\implies 2x - 5 = 0$

Since, the roots are repeated we can write the function h(x) = $(2x - 5) ^2$ which is OPTION C.

Hence, the answer.