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What do you call the process of rewriting the polynomial?

Joe Ford

What do you call the process of rewriting the polynomial?

The process of rewriting a polynomial as a product is called factoring.

Why do we need to divide polynomials?

Thus long division is a means for testing whether one polynomial has another as a factor, and, if it does, for factoring it out. For example, if a root r of A is known, it can be factored out by dividing A by (x – r).

What is the remainder if the divisor is a factor of the polynomial?

1 Expert Answer The remainder will be zero if the divisor is a factor

Do factors have Remainders?

In practice, the Factor Theorem is used when factoring polynomials “completely”. Any time you divide by a number (being a potential root of the polynomial) and get a zero remainder in the synthetic division, this means that the number is indeed a root, and thus “x minus the number” is a factor.

What is the proof of Factor Theorem?

The proof of The Factor Theorem is a consequence of what we already know. If (x−c) is a factor of p(x), this means p(x)=(x−c)q(x) for some polynomial q. Hence, p(c)=(c−c)q(c)=0, so c is a zero of p. Conversely, if c is a zero of p, then p(c)=0

How will you determine that X R is a factor of p x?

1. x-r is a factor of P(x) if and only if the remainder R of P(x) is divided by (x-r) is equals to 0. Thus, (x-r) is a factor of P(x) if and only if P(r) =0

Is a factor of the polynomial?

Similarly, in the case of polynomials, the factors are the polynomials which are multiplied to produce the original polynomial. For example, the factors of x2 + 5x + 6 is (x + 2) (x + 3). When we multiply both x +2 and x+3, then the original polynomial is generated.

What is the missing factor in 7 * 8?

The multiplication fact is 7 x 8 = 56. Hence, the missing factor in the given multiplication sentence is 7.

How will you factor difference of two squares step by step?

Do not forget to include the GCF as part of your final answer. Step 2: Every difference of squares problem can be factored as follows: a2 – b2 = (a + b)(a – b) or (a – b)(a + b). So, all you need to do to factor these types of problems is to determine what numbers squares will produce the desired results.