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What number should be added to the expression x^2 + 12x to change it into a perfect square trinomial?

source : yahoo.com

What number should be added to the expression x^2 + 12x to change it into a perfect square trinomial?

A perfect square trinomial can be expressed in the form (x + n)^2, or x^2 + 2xn + n^2.

Since x^2 + 12x already has the first two terms of the form x^2 + 2xn + n^2, but is missing the third, you must solve the third term (n^2).

We know the first two terms, so:

x^2 + 12x = x^2 + 2xn

Subtract x^2 from both sides:

12x = 2xn

Divide both sides by 2x:

6 = n

Since n = 6, n^2 = 6^2 = 36; therefore, the number to be added to the expression x^2 + 12x to change it into a perfect square trinomial is 36.

Which value must be added to the expression x^{2}+12x to

Which value must be added to the expression x^{2}+12x to – A perfect square trinomial is the product of the square of a binomial where the middle term is the product of twice the factors of the first and last term. A perfect square trinomial has the form:…Amira is solving the equation x2 – 6x = 1. Which value must be added to both sides of the equation to make the left side a perfect-square trinomial?-9 8 9 36. C. 9 = 29. A. Which value must be added to the expression x2 + x to make it a perfect-square trinomial? 1 4. A. Solve for in the equation 2x^2 + 3x – 7 = x^2 + 5x + 39. D.👉 Learn how to find the value c that completes the square in a quadratic expression. A quadratic expression is an expression whose highest exponent in the v…

Quiz Flashcards | Quizlet – Q. Given the perfect square trinomial, identify the equivalent expression. x 2-18x+81An expression obtained from the square of a binomial equation is a perfect square trinomial. An expression is said to a perfect square trinomial if it takes the form ax 2 + bx + c and satisfies the condition b 2 = 4ac. The perfect square formula takes the following forms: (ax) 2 + 2abx + b 2 = (ax + b) 2Which value must be added to the expression x2 + 12x to make it a perfect-square trinomial? 6 36 72 144. 36. Which value must be added to the expression x2 + x to make it a perfect-square trinomial? 1 4. 1/4. Which value must be added to the expression x2 + 16x to make it a perfect-square trinomial? 8 32 64 256. 64.

Quiz Flashcards | Quizlet

Finding the value to make a perfect square trinomial – YouTube – Question 106098: Which number must be added to x^2 – 16x to make it a perfect square trinomial? (X squared subtract 16x) Answer by MathLover1(17953) ( Show Source ):1. What number should be added to the expression x2 + 4x to change it into a perfect square trinomial? (Points : 1) A. 2 B. 4 C. 8 D. 1 Question 2. 2. What number should be added to the expression x2 + 14x to change it into a perfect square trinomial? (Points : 1) A. 7 B.14 C. 28 D. 49 Question 3. 3. Find the solution to the following equation by transforming it into a perfect square trinomialNEXT: https://www.youtube.com/watch?v=8jp5-22bg3A&list=PLJ-ma5dJyAqoukfE8jv4L4PiyiKbRgi10CORRECTION: For the first trinomial k = -12 and 12Both should have b…

Perfect Square Trinomial Formula - The Education