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You can't know if a general polynomial is in factored form.
12a2/(2ab) = 6a/b
You multiply the factors.
2x + 3 can be factored as follows: 2(x + 1.5)
27:_ 27,1,3,9
The expression ( 8a^2 - 8 ) can be factored by taking out the common factor of 8. This gives us ( 8(a^2 - 1) ). The term ( a^2 - 1 ) is a difference of squares, which can be further factored into ( (a - 1)(a + 1) ). Therefore, the fully factored form is ( 8(a - 1)(a + 1) ).
You can't know if a general polynomial is in factored form.
3y-6y in factored form = -3
12a2/(2ab) = 6a/b
To convert a polynomial from factored form to general form, you need to expand the factored expression by multiplying the factors together. For example, if you have a factored expression like ( (x - 2)(x + 3) ), you would use the distributive property (also known as the FOIL method for binomials) to multiply: ( x^2 + 3x - 2x - 6 ), which simplifies to ( x^2 + x - 6 ). Continue this process for any additional factors until the expression is fully expanded into its general form, which is typically written as a polynomial in standard form.
A completely factored form is one which is composed of product of factors and can't be factorized further. Let us consider two examples: x2 - 4x + 4 is not a factored form because it can be factored as (x - 2)(x - 2). (x +1)(x2 - 4x + 4) is also not a factored form because x2 - 4x + 4 can be factored further as (x - 2)(x - 2). So, the completely factored form is (x + 1)(x - 2)(x - 2).
2(a+b) is 2a plus 2b in factored form.
If you mean 4y+10 then it is 2(2y+5) when factored
You multiply the factors.
when it is in its most reduced form.
The fundamental theorem of arithmetic says any integer can be factored into a unique product of primes. The is the prime factored form.
To convert a quadratic equation from standard form (ax^2 + bx + c) to factored form, you first need to find the roots of the equation by using the quadratic formula or factoring techniques. Once you have the roots, you can rewrite the equation as a product of linear factors, such as (x - r1)(x - r2), where r1 and r2 are the roots of the equation. This process allows you to express the quadratic equation in factored form, which can be useful for solving and graphing the equation.