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If the constant term in the factoring of a trinomial is positive then the signs in both binomial factors will be negative?
Wiki User
∙ 11y ago
Not necessarily. They could both be positive.
Wiki User
∙ 11y ago
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When factoring a trinomial how do you know if the two factors will both have plus signs both minus signs and when there will be one of each?
-- If the last term of the trinomial ... the one that's just a number with no 'x' ... is positive, then both factors have the same sign as the middle term of the trinomial. -- If the last term is negative, then the factors have different signs. If this was never pointed out in class, well, it should have been.
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.
Given the trinomial where both the first sign is positive and the second sign is negative the signs of the factors will be?
One positive one negative (apex)
When the slope of v t graph is negative and constant what is the nature of acceleration?
acceleration is the slope of the v t graph... so the acceleration is constant and negative. In other words, the object is slowing down at a constant rate.
Negative 5 minus positive 12?
-5 - 12 = -17, by subtracting carefully (or going down a number line).However, there is an easier way, by factoring out -1. Thus, we have -(5 + 12) = -(17) = -17.
What are mean and variance of negative binomial distribution by conclusion?
what is meant by a negative binomial distribution what is meant by a negative binomial distribution
When factoring a trinomial how do you know if the two factors will both have plus signs both minus signs and when there will be one of each?
-- If the last term of the trinomial ... the one that's just a number with no 'x' ... is positive, then both factors have the same sign as the middle term of the trinomial. -- If the last term is negative, then the factors have different signs. If this was never pointed out in class, well, it should have been.
Why is the last term of a perfect square trinomial always positive?
This is related to the fact that the square of both a positive and a negative number is always positive. The last term is simply the square of the second term, in the original binomial.
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.
When p is larger than q and both are negative the sign of the x-term of a trinomial will be?
negative
Factor the trinomial negative x2 plus 7x plus 18?
-((x + 2)(x - 9))
Given the trinomial where both the first sign is positive and the second sign is negative the signs of the factors will be?
One positive one negative (apex)
In which situation would you most likely factor out -1 from a trinomial?
If the coefficient of the highest power of a variable of interest is negative.
Define binomial theorem?
The binomial theorem describes the algebraic expansion of powers of a binomial: that is, the expansion of an expression of the form (x + y)^n where x and y are variables and n is the power to which the binomial is raised. When first encountered, n is a positive integer, but the binomial theorem can be extended to cover values of n which are fractional or negative (or both).
What has the author JOSEPH HILBE written?
JOSEPH HILBE has written: 'NEGATIVE BINOMIAL REGRESSION'
If the constant term of (x3 plus ax2)5 is equal to -270 then what is a?
Both terms in the binomial have positive exponents of x and so it is not possible for there to be a constant term in its expansion. If the second term is a negative power then it is not possible to tell whether it should be (a/x^2) or 1/(ax^2) which will yield different answers.
What does the negative sign in the dissociation constant mean?
equilibrium constant
