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Quadratic functions f(x) = ax^2 - 6x - 7 if f(2) = 3?

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Substitute 2 for x, 3 for f(2). This gives you an equation with a as an unknown
3=a*(2^2)-6(2)-7
3=4a-12-7
4a=3+12+7=22 or a=22/4=11/2
Check
11/2*4-12-7=3 Checks OK

Posted on Oct 20, 2013

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Definition



A mathematical statement used to evaluate a value. An equation can use any combination of mathematical operations, including addition, subtraction, division, or multiplication. An equation can be already established due to the properties of numbers (2 + 2 = 4), or can be filled solely with variables which can be replaced with numerical values to get a resulting value. For example, the equation to calculate return on sales is: Net income ÷ Sales revenue = Return on Sales. When the values for net income and sales revenue are plugged into the equation, you are able to calculate the value of return on sales.

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1 Answer

How to factor a polynomial equation on casio fx-300es?


Hello,
The Casio FX-300ES does not handle symbolic algebra. So it cannot factor a general polynomial expression. The methods can be found in any book on Algebra.
However if you are interested in approximate factorization of quadratic and cubic polynomials, you can use the calculator to do that. It can solve aX^3 +bX^2+cX+d =0 and the quadratic equations.

If you want to factor a cubic polynomial P3(X) = aX^3+bX^2+cX+d , you write the corresponding cubic equation as aX^3+bX^2+cX=d =0 , then you divide all terms of the equation by a to obtain

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You use the calculator to solve (approximately) this equation.
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You can handle the quadratic polynomial the same way.

P2(X) =a*(X-X1)(X-X2) where X1, X2 are the two real roots

Hope it helps.

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