Mathematics, 24.07.2019 19:10 tyrielle8729

which value is needed in the expression below to create a perfect square trinomial?
x2+8x+
4
8
16
64

Answers: 1

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Answer from: sjaybanks4067

Step-by-step explanation:

i know because i did the test

which value is needed in the expression below to create a perfect square trinomial? x2+8x+ 4 8 16 6

Answer from: isac58

The value which is needed to be added to transform the quadratic expression $x^{2}+8x$ as a perfect square trinomial is 16.

Step-by-step explanation:

A quadratic expression is an expression in which the highest power of the variable is 2 or it can be said that the degree of the expression is 2.

The identity for $(a+b)^{2}$ is given as follows:

$(a+b)^{2}=a^{2}+b^{2}+2\times(a)\times(b)$

Step 1:

Break down the given polynomial $x^{2}+2\times(x)\times(4)$ .

Step 2:

Now compare the polynomial with the above indentity.

On comparing it is observed that the value of a is x and the value of b is 4.

Step 3:

In order to make the polynomial $x^{2}+8x+$ a perfect square, add to the broked down polynomial because on comparing the above polynomials the value of b is 4 and the square of 4 is 16.

$x^{2}+2\times(x)\times4+16$

Step 4:

Now as per the identity $(a+b)^{2}=a^{2}+2\times(a)\times(b)+b^{2}$ the polynomial $x^{2}+2\times(x)\times4+16$ is written as follows:

$(x+4)^{2}$ .

Therefore, the perfect square for the given polynomial is $(x+4)^{2}$ which is created by adding 16 to the given expression.

Learn more:

A problem to obtain the y-intercept of a quadratic function A problem to obtain the binomial and trinomial

Answer details

Grade: Middle school

Subject: Mathematics

Chapter: Quadratic expression

Keywords: Quadratic, quadratic expression, polynomial, quadratic polynomial, perfect square, trinomial, degree, highest power, transform, identities, break down, perfect square, middle term split, x^2+8x,methamatics, algebra.

Answer from: Quest

step-by-step explanation:

Answer from: Quest

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which value is needed in the expression below to create a perfect square trinomial?
x2+8x+

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