# What Is The Value Of N So That The Expression X^2+11X+N Is A Perfect Square Trinomial

## What is the value of N so that the expression x 2 +11x n is a perfect square trinomial?

If n=1214 the x2−11x+n is a perfect square trinomial.

## What value makes the expression a perfect square trinomial?

An 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 ax2 + bx + c and satisfies the condition b2 = 4ac.

## What is perfect square trinomial?

A perfect square trinomial is a trinomial that can be written as the square of a binomial. Recall that when a binomial is squared the result is the square of the first term added to twice the product of the two terms and the square of the last term.

## What number must be added to 2x 2 16x to make it perfect square trinomial?

Add 64 to get the perfect square trinomial.

## How do you express a trinomial?

A trinomial is an algebraic equation composed of three terms and is normally of the form ax2 + bx + c = 0 where a b and c are numerical coefficients. The number “a” is called the leading coefficient and is not equal to zero (a≠0). For instance x² − 4x + 7 and 3x + 4xy – 5y are examples of trinomials.

## How do you solve a perfect square?

Steps to Solving Equations by Completing the Square
1. Rewrite the equation in the form x2 + bx = c.
2. Add to both sides the term needed to complete the square.
3. Factor the perfect square trinomial.
4. Solve the resulting equation by using the square root property.

## How do you find the solution of each equation?

Determine whether a number is a solution to an equation.
1. Substitute the number for the variable in the equation.
2. Simplify the expressions on both sides of the equation.
3. Determine whether the resulting equation is true. If it is true the number is a solution. If it is not true the number is not a solution.

## What is the result of trinomial?

Any time you take a binomial and multiply it to itself you end up with a perfect square trinomial. For example take the binomial (x + 2) and multiply it by itself (x + 2). The result is a perfect square trinomial.

## What is General trinomial?

A general quadratic trinomial is a trinomial of the form ax2 + bx + c where a b and c are real numbers.

## How do you find the missing value of a perfect square trinomial?

Divide the coefficient for y by 2 then square the result. This will give you the missing term.

## How did you factor the trinomial?

To factor a trinomial in the form x2 + bx + c find two integers r and s whose product is c and whose sum is b. Rewrite the trinomial as x2 + rx + sx + c and then use grouping and the distributive property to factor the polynomial. The resulting factors will be (x + r) and (x + s).

## Which value must be added to the expression x2 12x to make it a perfect square trinomial?

36

The value which must be added to the expression x2 + 12x to make it a perfect-square trinomial is 36.

## What must be added to 4x 2 20x 16 to make it a perfect square?

Therefore 9 to be added to the above equation to become a perfect square.

## What must be added to x2 to make it a perfect square trinomial?

The value which must be added to the expression x2 + x to make it a perfect square trinomial is 1/4.

## What is a cubic trinomial?

A cubic trinomial is a trinomial in one variable with a degree of 3.

## What is the trinomial in mathematics?

In elementary algebra a trinomial is a polynomial consisting of three terms or monomials.

## How do you find the square of 2?

The square root of 2 is the number which when multiplied with itself gives the result as 2. It is generally represented as √2 or 2½. The numerical value of square root 2 up to 50 decimal places is as follows: √2 = 1.41421356237309504880168872420969807856967187537694…

## What is the square of 2?

1.414

List of Perfect Squares
NUMBER SQUARE SQUARE ROOT
2 4 1.414
3 9 1.732
4 16 2.000
5 25 2.236

## How do you find the square of a two digit number?

Steps for Squaring Two Digit Numbers
1. Step 1: Add the last digit of the number you are trying to square to the entire number itself creating your sum.
2. Step 2: Multiply the sum (step 1) by the first digit of the base number.
3. Step 3: Square the last digit of the base number.

## What is value math example?

Mathematics: a number or the result of a calculation. Example: 3 × 4 gives the value of 12. Money: how much something is worth. Example: the value of this coin is one dollar.

## What is the value of B?

B-value: The b-value is the middle number which is the number next to and multiplied by the x a change in the value of b affects the parabola and the resulting graph.

## Is the number 2 a perfect square?

For instance the product of a number 2 by itself is 4. In this case 4 is termed as a perfect square. A square of a number is denoted as n × n. Similarly the exponential notation of the square of a number is n 2 usually pronounced as “n” squared.

Example 1.
Integer Perfect square
2 x 2 4
3 x 3 9
4 x 4 16
5 x 5 25

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