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## What is a factor of X 4 5x 2 4?

2 Answers By Expert Tutors

Explanation: In order to factor a trinomial, we find two numbers whose product is ac and whose sum is b. In the case of x^{4} -5x^{2} +4, these numbers would be **-4 and -1**.

## What are the steps of factoring an expression?

**Factoring completely is a three step process:**

- Factor a GCF from the expression, if possible.
- Factor a Trinomial, if possible.
- Factor a Difference Between Two Squares as many times as possible.

### Factor x^4 – 5x^2 + 4 Polynomial using Factor theorem

### Images related to the topicFactor x^4 – 5x^2 + 4 Polynomial using Factor theorem

## How do you factor a 4th power equation?

We can factor a difference of fourth powers (and higher powers) by **treating each term as the square of another base, using the power to a power rule**. For example, to factor x^{4} – y^{4}, we treat x^{4} as (x^{2})^{2} and y^{4} as (y^{2})^{2}. Thus, x^{4} – y^{4} = (x^{2})^{2} – (y^{2})^{2} = (x^{2} + y^{2})(x^{2} – y^{2}) = (x^{2} + y^{2})(x + y)(x – y).

## How do you factor polynomials?

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 x3 64 factored?

The factored form of x^{3} + 64 is **(x + 4)(x ^{2} – 4x + 16)**.

## What is Prime expression?

**A polynomial with integer coefficients that cannot be factored into polynomials of lower degree , also with integer coefficients**, is called an irreducible or prime polynomial . Example 1: x2+x+1.

## What is sum product pattern?

The sum-product pattern

If the polynomial is of the form x 2 + b x + c x^2+bx+c x2+bx+cx, squared, plus, b, x, plus, c and there are factors of c that add up to b.

### Factoring a polynomial to the fourth power using factoring to second power

### Images related to the topicFactoring a polynomial to the fourth power using factoring to second power

## How do you complete the square general formula?

**The completing the square method involves the following steps:**

- Step 1) Divide all terms by the coefficient of .
- Step 2) Find.
- Step 3) Find.
- Step 4) Add to both sides of the equation.
- Step 5) Complete the square on the left-hand-side of the equation. …
- Step 7) Take the square root of both sides and solve for the variable.

## How do you factor a 4th degree polynomial?

**7 Answers**

- P(x)=(x+a)(x3+b2x2+b1x+b0)
- P(x)=(x2+a1x+a0)(x2+b1x+b0)
- (x2+a1x+a0)(x2+b1x+b0)=x4+c3x3+c2x2+c1x+c0.

## How do you solve polynomials step by step?

**Step by Step**

- If solving an equation, put it in standard form with 0 on one side and simplify. [ …
- Know how many roots to expect. [ …
- If you’re down to a linear or quadratic equation (degree 1 or 2), solve by inspection or the quadratic formula. [ …
- Find one rational factor or root. …
- Divide by your factor.

## What is this factor?

A factor is **a number that divides another number leaving no remainder**. In other words, if multiplying two whole numbers gives us a product, then the numbers we are multiplying are factors of the product because they are divisible by the product. There are two methods of finding factors: multiplication and division.

## How do you factor a 4 B 4?

Given, a4−b4=(a2)2−(b2)2=(a2+b2)(a2−b2)(∵x2−y2=(x+y)(x−y))=(a2+b2)(a+b)(a−b)

### Solve: x^4-5x^2+4=0

### Images related to the topicSolve: x^4-5x^2+4=0

## How do you factor AB 3?

The factored form of a^{3} + b^{3} is **(a + b)(a ^{2} – ab + b^{2})**: (a + b)(a

^{2}– ab + b

^{2}) = a

^{3}+ a

^{2}b – a

^{2}b – ab

^{2}+ ab

^{2}+ b

^{3}= a

^{3}– b

^{3}. For example, the factored form of 64x

^{3}+ 125 (a = 4x, b = 5) is (4x + 5)(16x

^{2}– 20x + 25).

## How do you factor by grouping?

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.

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