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

The general form of a perfect square is (x+a)^2 = x^2 + 2ax + a^2.

Comparing this with the given polynomial x^2 + 10x + c, we can see that 2a = 10.

Solving for a gives a = 10/2 = 5.

Substituting a = 5 into the equation a^2 = c gives c = 5^2 = 25.

So, the value of c that makes the polynomial a perfect square is 25.

Therefore, the answer is A. 25.

Question

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

The general form of a perfect square is (x+a)^2 = x^2 + 2ax + a^2.

Comparing this with the given polynomial x^2 + 10x + c, we can see that 2a = 10.

Solving for a gives a = 10/2 = 5.

Substituting a = 5 into the equation a^2 = c gives c = 5^2 = 25.

So, the value of c that makes the polynomial a perfect square is 25.

Therefore, the answer is A. 25.

Knowee AI · Accepted Answer

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

The general form of a perfect square is (x+a)^2 = x^2 + 2ax + a^2.

Comparing this with the given polynomial x^2 + 10x + c, we can see that 2a = 10.

Solving for a gives a = 10/2 = 5.

Substituting a = 5 into the equation a^2 = c gives c = 5^2 = 25.

So, the value of c that makes the polynomial a perfect square is 25.

Therefore, the answer is A. 25.

What value of c makes the polynomial below a perfect square?x2 + 10x + cc =A.25B.5C.100D.20SUBMITarrow_backPREVIOUS