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How do you determine how to rewrite the middle term of a trinomial that has a leading coefficient?
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What are the factors for the trinomial x2 plus 2x-24?
Assuming x**2+2x-24:Factoring:ax**2 + bx + cStep 1: Multiply coefficients of first and third termsa∗cStep 2: Factor product of coefficient of first and third term (a*c), choose 2factors whose sum is the coefficient of the second term (b)a∗c=d∗ed+e=bStep 3: Rewrite equationax2 + dx + ex + cStep 4: Factor sets of terms (first and second, third and fourth)gx(hx + i) + j(hx + i)where: g is the greatest common factor of a and dwhere: j is the greatest common factor of e and cwhere: h = a ÷ g, e ÷ jwhere: i = d ÷ g, c ÷ jStep 5: Combine Like terms:(gx + j)(hx + 1)Example:Step 1: Multiply coefficients of first and third terms1*-24 = -24Step 2: Factor product of coefficient of first and third term (a*c), choose 2factors whose sum is the coefficient of the second term (b)-24=2*2*2*3*-1-24=-2*12, 2*-12-4*6, 4*-6-3*8, 3*-8-4+6=2Step 3: Rewrite equationx**2-4x+6x-24Step 4: Factor sets of terms (first and second, third and fourth)gx(hx + i) + j(hx + i)where: g is the greatest common factor of a and dwhere: j is the greatest common factor of e and cwhere: h = a ÷ g, e ÷ jwhere: i = d ÷ g, c ÷ jx(x-4)+6(x-4)Step 5: Combine Like terms:(x+6)(x-4)
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What is the slope 2y-16 equals 8x?
Rewrite the equation is the slope-intercept form: 2y = 8x + 16 Divide through by the coefficient of y: y = 4x + 8 The slope is the coefficient of x, ie 4.
If you rewrite the following word equation as a balanced chemical equation what will the coefficient and symbol for fluorine be nitrogen trifluoride nitrogen plus fluorine?
2NF3 --> N2 + 3F2
If you rewrite the following word equation as a balanced chemical equation what will the coefficient and symbol for fluorine be nitrogen trifluoride - nitrogen plus fluorine?
2NF3 --> N2 + 3F2
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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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What is the slope of the line given by the equation 8 equals 3y-5x?
First rewrite the equation in the "standard" form: 3y = 5x + 8 so that y = 5/3*x + 8/3 Then the slope is the coefficient of x, ie 5/3 or 1.66...
What is the slope of the line defind by the equation 8x plus 2y equals 5?
Rewrite the equation in the form y = mx + c and then m is the slope. Thus: 2y = -8x + 5 and then y = -4x + 5/2 So the slope is the coefficient of x, which is -4.
What part of speech is rewrite?
"Rewrite" can function as both a verb and a noun. As a verb, it means to write something again in a different way. As a noun, it refers to the act of rewriting or a revised version of a written text.
