Knowee
Questions
Features
Study Tools

What value in place of the question mark makes the polynomial below a perfect square trinomial?9x2 + ?x + 49A.21B.126C.42D.63SUBMITarrow_backPREVIOUS

Question

What value in place of the question mark makes the polynomial below a perfect square trinomial?

9x2+?x+49 9x^2 + ?x + 49

A. 21
B. 126
C. 42
D. 63

SUBMIT arrow_back PREVIOUS

🧐 Not the exact question you are looking for?Go ask a question

Solution

The polynomial is a perfect square trinomial if it can be written in the form (ax+b)^2.

The general form of a perfect square trinomial is a^2 + 2ab + b^2.

Given the trinomial 9x^2 + ?x + 49, we can see that a^2 = 9x^2 and b^2 = 49.

Taking the square root of a^2 and b^2, we get a = 3x and b = 7.

Substituting a and b into 2ab gives us 23x7 = 42x.

Therefore, the value that should replace the question mark to make the polynomial a perfect square trinomial is 42x.

So, the correct answer is C. 42.

This problem has been solved

Similar Questions

What value in place of the question mark makes the polynomial below a perfect square trinomial?9x2 + ?x + 49A.21B.126C.42D.63SUBMITarrow_backPREVIOUS

Determine which polynomial is a perfect square trinomial. 49x2 − 28x + 16 9a2 − 30a + 25 25b2 − 45b − 81 16x2 − 24x − 9

Select the polynomial that is a perfect square trinomial.Group of answer choices9x2 + 9x + 136b2 − 24b + 816x2 + 24x + 94a2 − 10a + 25

In the polynomial below, what number should replace the question mark to produce a difference of squares?x2 + ?x - 36A.36B.0C.6D.12SUBMITarrow_backPREVIOUS

Which of the following values of c  will make the expression x2 - 12x + c a perfect square trinomial?

1/3

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.