what is the coefficient in the expression 10x+8?
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In the given expression, 10x + 8, the numerical coefficient is 10 and the literal coefficient is x. The number 8 is not considered as a coefficient since the value is a constant.
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Step 3: Multiply the leading coefficient and the constant, that is multiply the first and last numbers together. In this case, you should multiply 3 and –8. Step 4: List all of the factors from Step 3 and decide which combination of numbers will combine to get the number next to x.
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Answer: Coefficient of x in expansion of ( x + 3 )^3 is 27.
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Parts of an Equation A number on its own is called a Constant. A Coefficient is a number used to multiply a variable (4x means 4 times x, so 4 is a coefficient) Variables on their own (without a number next to them) actually have a coefficient of 1 (x is really 1x)
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1 Answer. The coefficient of x3y2 in (x−3y)5 is 90 .
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['B+C=A.', 'M⋅GCD(B,C) + N⋅GCD(B,C) = A.', '(M + N)⋅GCD(B,C) = A.']
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1 more than 8 is the same as 1 plus 8. So, once again, the answer is 9.
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A regression coefficient is the same thing as the slope of the line of the regression equation. The equation for the regression coefficient that you'll find on the AP Statistics test is: B1 = b1 = Σ [ (xi – x)(yi – y) ] / Σ [ (xi – x)2]. “y” in this equation is the mean of y and “x” is the mean of x.
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A coefficient is the number multiplied by the variable of largest exponent (highest degree). There is only one variable here, d , and the number multiplied by it is 7 , so the coefficient is 7 .
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Step 3: Multiply the leading coefficient and the constant, that is multiply the first and last numbers together. In this case, you should multiply 12 and 2. Step 4: List all of the factors from Step 3 and decide which combination of numbers will combine to get the number next to x.
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We call these letters "variables" because the numbers they represent can vary—that is, we can substitute one or more numbers for the letters in the expression. Coefficients are the number part of the terms with variables. In 3x2 + 2y + 7xy + 5, the coefficient of the first term is 3.
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['multiply each term in one polynomial by each term in the other polynomial.', 'add those answers together, and simplify if needed.']
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When multiplying variables in algebra which are the same, you can solve it by adding the exponents. So for example, 2x times x, the answer would be 2x^2. Note that x by itself is actually to the power 1.
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If you were to want the entire Taylor series, I would start by taking the necessary number of derivatives to make it to the x2 term (i.e. the n=2 term). That means up to and including the 2nd derivative. So your coefficient is 3 .
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To factorise a quadratic trinomial, find two numbers whose sum is equal to the coefficient of x, and whose product is equal to the independent term.
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Thus, if a quadratic has two real roots α,β, then the x-coordinate of the vertex is 12(α+β). ... Thus we can express the sum of the roots in terms of the coefficients a,b,c of the quadratic as α+β=−ba.
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['Step 1: Multiply each equation by a suitable number so that the two equations have the same leading coefficient. ... ', 'Step 2: Subtract the second equation from the first.', 'Step 3: Solve this new equation for y.', 'Step 4: Substitute y = 2 into either Equation 1 or Equation 2 above and solve for x.']