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no, because some examples are:

(a-2)(a+2) = a^2-4 (binomial) & (a+b)(c-d) = ac-ad+bc-db (polynomial)

but can 2 binomials equal to a monomial?

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โˆ™ 2013-02-19 04:08:20
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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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Q: Will the product of two binomials always equal a trinomial?
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Which part of the trinomial will equal the product of p and q?

The answer depends on what p and q are!


Is the third term in a factorable trinomial equal to the product of the constants in its binomial factors?

Yes it is


How do factor a trinomial expression with a leading coefficient not equal to 1?

To factor a trinomial in the form ax2 + bx + c, where a does not equal 1, the easiest process is called "factoring by grouping". To factor by grouping, you must change the trinomial into an equivalent tetranomial by rewriting the middle term (bx) as the sum of two terms. There is a specific way to do this, as demonstrated in the example.Take the quadratic trinomial 5x2 + 11x + 21. Find the product of a and c, or 5*2 = 10.2. Find factors of ac that when added together give you b, in this case 10 and 1.3. Rewrite the middle term as the sum of the two factors (5x2 + 10x + x + 2).4. Group terms with common factors and factor these groups.5x2 + x + 10x + 2x(5x + 1) + 2(5x + 1)5. Factor the binomial in the parentheses out of the whole polynomial, leaving you with the product of two binomials. 5x2 + 11x + 2 = (x + 2)(5x + 1)Notes:1. The same process is done if there are any minus signs in the trinomial, just be careful when factoring out a negative from a positive or vice versa.2. If you have a tetranomial on its own, you can skip the rewriting process and just factor the whole polynomial by grouping from the start.3. As in factoring any polynomial, always factor out the GCF first, then factor the remaining polynomial if necessary.4. Always look for patterns, like the difference of squares or square of a binomial, while factoring. It will save a lot of time.


What does 12x10 equal?

Their product is 120


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Related questions

Which part of the trinomial will equal the product of p and q?

The answer depends on what p and q are!


Is the third term in a factorable trinomial equal to the product of the constants in its binomial factors?

Yes it is


How do you factor polynomials into binomials and trinomials?

Here are the steps to factoring a trinomial of the form x2 + bx + c , with c > 0 . We assume that the coefficients are integers, and that we want to factor into binomials with integer coefficients.Write out all the pairs of numbers which can be multiplied to produce c .Add each pair of numbers to find a pair that produce b when added. Call the numbers in this pair d and e .If b > 0 , then the factored form of the trinomial is (x + d )(x + e) . If b < 0 , then the factored form of the trinomial is (x - d )(x - e) .Check: The binomials, when multiplied, should equal the original trinomial.Note: Some trinomials cannot be factored. If none of the pairs total b , then the trinomial cannot be factored.


Is the LCM of two numbers always equal to their product?

No.


What is the product of wavelength and frequency always equal?

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What is the product of a fraction and its reciprocal is always equal to?

It is equal to 1, but not always: the reciprocal must be defined for the equality and the reciprocal is not always defined.


Will the product of a parallel and a perpindicular always equal -1?

Yes


How do you write two binomials such that the product is equal to zero when x equals 3 or -5?

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Is the LCM of two different prime number always equal to their product?

Yes.


What is the product of two binomials having dissimilar terms?

Let a, b, c, d &#1028; C, where C is the field of complex numbers.Let m, n, p, q &#1028; N, where N is the field of natural numbers, including 0.If w, x, y, z &#1028; C are unknown, the product of the two binomials (awm + bxn) and (cyp + dzq) is equal to the following:acwmyp + adwmzq + bcxnyp + bdxnzq.


Why does dividing the product by the GCF always give you the LCM?

In number theory, the product of two positive integers will equal the product of their GCF and LCM. Dividing that product by one of them will give you the other.


How do factor a trinomial expression with a leading coefficient not equal to 1?

To factor a trinomial in the form ax2 + bx + c, where a does not equal 1, the easiest process is called "factoring by grouping". To factor by grouping, you must change the trinomial into an equivalent tetranomial by rewriting the middle term (bx) as the sum of two terms. There is a specific way to do this, as demonstrated in the example.Take the quadratic trinomial 5x2 + 11x + 21. Find the product of a and c, or 5*2 = 10.2. Find factors of ac that when added together give you b, in this case 10 and 1.3. Rewrite the middle term as the sum of the two factors (5x2 + 10x + x + 2).4. Group terms with common factors and factor these groups.5x2 + x + 10x + 2x(5x + 1) + 2(5x + 1)5. Factor the binomial in the parentheses out of the whole polynomial, leaving you with the product of two binomials. 5x2 + 11x + 2 = (x + 2)(5x + 1)Notes:1. The same process is done if there are any minus signs in the trinomial, just be careful when factoring out a negative from a positive or vice versa.2. If you have a tetranomial on its own, you can skip the rewriting process and just factor the whole polynomial by grouping from the start.3. As in factoring any polynomial, always factor out the GCF first, then factor the remaining polynomial if necessary.4. Always look for patterns, like the difference of squares or square of a binomial, while factoring. It will save a lot of time.

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