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Suppose you have the expression x2 + 7x + 12. You look for two numbers that add to 7 and multiply to make 12. They are 3 and 4. You put these numbers into the factors as follows: (x+3)(x+4).
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Here is a harder example. x2 - 5x - 36. The numbers have to multiply to make -36, so one must be negative and the other positive. Since they add to -5, the big number must be negative. If you're stuck, make a list of the pairs of factors of 36: 1x36, 2x18, 3x12, 4x9, 6x6. The numbers we are looking for are 4 and -9, and the factors are (x+4)(x-9).
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These two examples are 'easy' trinomials, since they have no number in front of the x2. 'Hard' trinomials do have a number there. For example, 3x2 - 19x -14. There are several ways of doing this, but it is basically organized trial and error. The factors are (3x+2)(x-7).
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Can all quadratic expressions be factorised?
Only when the discriminant of the quadratic expression is equal to or greater than zero
What do you do with remainders in quadratic expressions?
Leave it the way it is. (by Stephen Hawking)
Is the foil method used for factoring quadratic equations?
Yes FOIL method can be used with quadratic expressions and equations
What is 2x with the exponent 2 plus 3x plus 1. what is 7n with the exponent 2 plus 9n plus 2. what is 3x with the exponent 2 plus 8x plus 5. what is 7y with the exponent 2 plus 19y plus 10?
The first and third are quadratic expressions in x, the second is a quadratic expressions in n, and the fourth is a quadratic expressions in y. None of them are equations so cannot be solved.
What expressions appear as a step in solving 3x2 equal x-5 using the quadratic formula?
The following is the answer:
Does quadratic equation relate to science?
No, the quadratic equation, is mainly used in math to find solutions to quadratic expressions. It is not related to science in any way.
What does quadratic equations using the factoring method means?
It means you are required to "solve" a quadratic equation by factorising the quadratic equation into two binomial expressions. Solving means to find the value(s) of the variable for which the expression equals zero.
Can all quadratic expressions be factorised?
Only when the discriminant of the quadratic expression is equal to or greater than zero
What do you do with remainders in quadratic expressions?
Leave it the way it is. (by Stephen Hawking)
Is the foil method used for factoring quadratic equations?
Yes FOIL method can be used with quadratic expressions and equations
How do you factor of a4 plus b4-7a2b2?
Usually simple substitutions enable such expressions to be seen as quadratic expressions. The substitutions x = a2 and y = b2 give a4 + b4 - 7a2b2 = x2 - 7xy + y2 which does not have any rational factors. Consequently, the quartic in a and b does not have rational factors.
When do you use the quadratic formula?
When you need to find the roots of a quadratic equation and factorisation does not work (or you cannot find the factors). The quadratic equation ALWAYS works. And when appropriate, it will give the imaginary roots which, judging by this question, you may not yet be ready for.
What is difference between monic quadratic trinomials and general quadratic trinomials?
the difference between the two is that in quadratic u find the factors of the last term that when u add/subtract u get the answer of the middle term. while the general quadratic trinomial u find the factors of both first term and last term and proceed to trial and error. Welcome -Delin-shaw Guillermo
How can you state how you can find what the first and last terms of the quadratic expression is given the two factors?
If the two factors of the quadratic in x are ax+band cx+d thenthe first term is acx2 and the last term is bd.
What is 2x with the exponent 2 plus 3x plus 1. what is 7n with the exponent 2 plus 9n plus 2. what is 3x with the exponent 2 plus 8x plus 5. what is 7y with the exponent 2 plus 19y plus 10?
The first and third are quadratic expressions in x, the second is a quadratic expressions in n, and the fourth is a quadratic expressions in y. None of them are equations so cannot be solved.
How an algebric expression with quadratic denominator is solved?
Algebraic expressions can't be solved because they are not equations but they can be simplified.
What expressions appear as a step in solving 3x2 equal x-5 using the quadratic formula?
The following is the answer:
