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The Daily Insight

What is an example of a factored form?

Author

Emma Johnson

Updated on April 23, 2026

A factored form is positive unate in x, if x appears in F, but x’ does not. F is unate in x if it is either positive or negative unate in x, otherwise F is binate in x. Example: (a+b’)c+a’ is positive unate in c, negative unate in b, and binate in a.

What is the expression in factored form x2 7x 10?

The factorization of x2+7x+10=(x+2)(x+5) .

What does it mean to factor an expression?

Factoring an expression means breaking the expression down into bits we can multiply together to find the original expression. Factoring expressions is pretty similar to factoring numbers.

What is the factored form of 125a 6?

Rewrite 125a6 125 a 6 as (5a2)3 ( 5 a 2 ) 3 . Rewrite 64 as 43 . Since both terms are perfect cubes, factor using the difference of cubes formula, a3−b3=(a−b)(a2+ab+b2) a 3 – b 3 = ( a – b ) ( a 2 + a b + b 2 ) where a=5a2 a = 5 a 2 and b=4 .

What is the answer of X² 9?

One way to solve the quadratic equation x2 = 9 is to subtract 9 from both sides to get one side equal to 0: x2 – 9 = 0. The expression on the left can be factored: (x + 3)(x – 3) = 0. Using the zero factor property, you know this means x + 3 = 0 or x – 3 = 0, so x = −3 or 3.

What is the factored form of x2 9x 20?

The factored form of the polynomial x2 + 9x + 20 is (x + 5)(x + 4).

Why do we factor expressions?

Factoring is an important process that helps us understand more about our equations. Through factoring, we rewrite our polynomials in a simpler form, and when we apply the principles of factoring to equations, we yield a lot of useful information.

What does a factored expression look like?

Factoring is the process by which one tries to make a mathematical expression look like a multiplication problem by looking for factors. Factoring can be as easy as looking for 2 numbers to multiply to get another number. For example, It is not hard to see that 32 = 4 × 8 once you know your multiplication table.

How do you write factored form?

Writing a polynomial in factored form when given the x-intercepts (zeros) of an equation, and their multiplicity: If a= coefficient, n1= first x-intercept (zero), n2= second x-intercept (zero), etc. f(x)=(x-n1)(x-n2)(x-n3) etc. When an x-intercept (zero) has a multiplicity that becomes the exponent.

How to write factored form?

1) Find the x -intercepts. The x -intercepts of the graph are (0, 0) and (4, 0). 2) Substitute the x-intercepts into the general form. 3) Substitute another point from the graph into the general form and solve for the a-value. 4) Substitute the a-value into the formula.

What is the factored form of?

What is a fully factored form? A fully factored form means the given number or polynomial is expressed as a product of the simplest possible form.

  • How do you write a factored form? To write a polynomial in factored form,it must be expressed as a product of terms in its simplest form.
  • How do you find the factored form of a quadratic equation?
  • What is factored form in Algebra?

    Factored form is defined as the simplest algebraic expression in which no common factors remain. Finding the factored form is useful in solving linear equations.