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 2 * 3x * 7 = 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 D. 42.

Question

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 2 * 3x * 7 = 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 D. 42.

Knowee AI · Accepted Answer

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 2 * 3x * 7 = 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 D. 42.

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