The answer to the question, Which of the following represents a perfect square trinomial is D. All of the above
A perfect square trinomial is a trinomial that can be written in the form (a + b)². To check if the trinomial is a perfect square, we factor it.
So for A. x² - 14x + 49
We factor the expression
x² - 14x + 49
x² - 7x - 7x + 49
(x - 7) -7(x - 7)
(x -7)²
for B. x² + 14x + 49
We factor the expression
x² + 14x + 49
x² + 7x + 7x + 49
(x + 7) +7(x + 7)
(x + 7)²
for C. 4x² + 28x + 49
4(x² + 28x/4 + 49/4)
4(x² + 28x/4 + (28/8)² - (28/8)² + 49/4)
4(x² + 28x/4 + 784/64² - 784/64 + 49/4)
4(x² + 28x/4 + 784/64² + (-784 + 784)/64)
4(x² + 28x/4 + (28/8)² + 0)
4(x² + 28x/4 + (28/8)²)
4(x + 28/8)²
2²(x + 28/8)²
(2x + 28/4)²
(2x + 7/2)²
The all the expressions that can be expressed in the form (a + b)²
So, the answer to the question, Which of the following represents a perfect square trinomial is D. All of the above
Learn more about perfect square trimonials here:
brainly.com/question/12169190
