Select the polynomial that is a perfect square trinomial.Group of answer choices9x2 + 9x + 136b2 − 24b + 816x2 + 24x + 94a2 − 10a + 25
Question
Select the polynomial that is a perfect square trinomial.Group of answer choices9x2 + 9x + 136b2 − 24b + 816x2 + 24x + 94a2 − 10a + 25
Solution
The perfect square trinomial from the given options is 4a^2 - 10a + 25.
Here's why:
A perfect square trinomial is a trinomial that can be written as (ax+b)^2 or (ax-b)^2.
In the case of 4a^2 - 10a + 25, it can be written as (2a - 5)^2.
Here's the step-by-step breakdown:
- The square root of 4a^2 is 2a.
- The square root of 25 is 5.
- The middle term is negative, so we use (ax - b)^2.
- The 22a5 gives us the middle term -10a.
So, 4a^2 - 10a + 25 is a perfect square trinomial.
Similar Questions
Determine which polynomial is a perfect square trinomial. 49x2 − 28x + 16 9a2 − 30a + 25 25b2 − 45b − 81 16x2 − 24x − 9
Which of the following is a perfect square trinomial?A.4x2 - 20xy + 25y2B.4x2 - 14xy + 25y2C.4x2 + 14xy - 25y2D.4x2 + 20xy - 25y2SUBMITarrow_backPREVIOUS
The polynomial below is a perfect square trinomial of the form A2 - 2AB + B2.9𝑥2−18𝑥+369x 2 −18x+36A.TrueB.False
The polynomial below is a perfect square trinomial of the form A2 - 2AB + B2.9𝑥2−30𝑥+259x 2 −30x+25A.TrueB.False
What value in place of the question mark makes the polynomial below a perfect square trinomial?9x2 + ?x + 49A.126B.21C.63D.42SUBMITarrow_backPREVIOUS
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.