What is the factored form of q 2 12q 36? (2024)

What is the factored form of q 2 12q 36?

${q^2} - 12q + 36 = (q - 6)(q - 6)$ , which is the required factored form. Note: The given expression is a quadratic polynomial because the degree of the given polynomial is $2$ .

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What is the factored form of x2 36?

Hence, (x2−36)=(x+6)(x−6)

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What is an answer in factored form?

factored form (of a quadratic expression) A quadratic expression that is written as the product of a constant times two linear factors is said to be in factored form.

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What is the factorization of x2 − 12x 36?

Thus factors are (x−6),(x−6).

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What is Factorised using identities x2 12x 36?

Therefore, $ {x^2} - 12x + 36 $ can be factorised as $ {x^2} - 12x + 36 = \left( {x - 6} \right)\left( {x - 6} \right) $. Additional Information: Factorisation of polynomials is done by separating it in the product of factors which cannot be reduced further.

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What is a factored form example?

An example for a quadratic function in factored form is y=½(x-6)(x+2). We can analyze this form to find the x-intercepts of the graph, as well as find the vertex.

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What are the factors of the number 36?

Check Your Understanding: Is 36 a prime number or composite number? (Composite, because it has many factors other than 1 and 36: 2, 3, 4, 6, 9, 12, and 18.)

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How do you show factored form?

When the given equation can be expressed in the form a² - b², it can be factored as (a+b)(a−b) ( a + b ) ( a − b ) . Example: Consider y2−100 y 2 − 100 . Each of the terms here can be expressed in the form of square. Here the factors are (y+10 ) and (y−10) .

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What is a factored expression in math?

What is Factoring Expressions? Factoring an expression refers to writing an algebraic expression as a product of its factors. Factoring can be used to factor out a rational number or a negative number or greatest common factor (GCF) from any algebraic expression.

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What is the answer to x2 12x 36?

Answer: -6 is the required value of x or zeroes of the polynomial.

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Is x2 12x 36 a perfect square?

By using perfect square trinomial method, The expression given is x² + 12x + 36. The first and last term of this expression are perfect squares. Perfect square of x is x².

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What is the expression in factored form x2 − 12x 32?

x2 - 12x + 32 factored is (x - 4)(x - 8).

What is the factored form of q 2 12q 36? (2024)

What is the factored form of x2 − 9x 20?

x2−9x+20=(x2−5x)+(−4x+20)=x(x−5)−4(x−5)=(x−4)(x−5).

What are the different factored forms?

The six methods are as follows:

Greatest Common Factor (GCF)
Grouping Method.
Sum or difference in two cubes.
Difference in two squares method.
General trinomials.
Trinomial method.

How do you expand factored form?

Expanding an expression means removing the parenthesis or grouping symbols from it. Each expanded expression can be factored by removing the Greatest Common Factor (GCF) from each term. For example, to expand the expression 4(3x + 1), ✓ You must first multiply 4 • 3x and then add it to 4 • 1.

What are 4 examples of quadratic equation?

Examples of quadratic equations

x 2 + x − 30 = 0.
5 t 2 + 4 t + 1 = 0.
16 x 2 − 4 = 0.
3 x 2 + x = 0.
5 x 2 = 25.

What are the factors of 36 that add up to 12?

Question: What are the factors of 36 that add up to 12? So, 3, 6, and 9 are the factors of 36 that add up to 12.

Which number is not a factor of 36?

Therefore, 6 and 5 is not a factor pair of 36.

What is factoring 8th grade math?

In algebra, factoring is used to simplify an algebraic expression by finding the greatest common factors that are shared by the terms in the expression.

Why do we need to factor?

Sometimes, factoring allows us to simplify expressions, or write them in a form that is easier to use or interpret in some way. This is especially true when the expression is a rational expression (a polynomial divided by a polynomial).

Which is not a factor of 40?

As the number 40 is an even composite number, it has many factors other than 1 and 40. Therefore, the factors of 40 are 1, 2, 4, 5, 8, 10, 20 and 40. Factors of 40: 1, 2, 4, 5, 8, 10, 20 and 40.

How do you solve polynomials step by step?

Step 1: Group the first two terms together and then the last two terms together. Step 2: Factor out a GCF from each separate binomial. Step 3: Factor out the common binomial. Note that if we multiply our answer out, we do get the original polynomial.

What is the factored form of x2 − 25 is?

For example, x²-25 can be factored as (x+5)(x-5). This is an extremely useful method that is used throughout math.

How many solutions does x2 =- 36 have?

The equation has no real solutions. It has 2 imaginary, or complex solutions.

What is the factored form of x2 − 6x − 16?

The only pair of factors of 16 that add up to -6 are 2 and -8, so these are the numbers we will use to fill in the blanks. That is, x2 - 6x - 16 = (x + 2)(x - 8).

What is an example of a factored form?

An example for a quadratic function in factored form is y=½(x-6)(x+2). We can analyze this form to find the x-intercepts of the graph, as well as find the vertex.

What is x2 − 7x − 30 factored?

x2−7x−30=x2−10x+3x−30 {∵ −30=−10×3−7=−10+3}=x(x−10)+3(x−10)=(x−10)(x+3) Ans.

What is the factored form of the expression x2 − 7x − 18 responses?

∴x2+7x−18=(x−2)(x+9) Was this answer helpful?

How do you solve the square of 36?

Since 36 is a perfect square, therefore, it becomes easy for us to find its square root. The square root of 36 is expressed by √36, where '√' is the radical symbol and 36 is the radicand. √36 is equal to 6, which is a rational number.

What squares into 36?

Square Root of 36 Using Prime Factorization

36 is: 36 = 2 × 2 × 3 × 3.

What is the factored form of q 2 12q 36? (2024)