answersLogoWhite

0


Best Answer

If the two factors of the quadratic in x are ax+band cx+d then

the first term is acx2 and the last term is bd.

User Avatar

Wiki User

14y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: How can you state how you can find what the first and last terms of the quadratic expression is given the two factors?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Continue Learning about Movies & Television

Factor this expression Check by multiplying factors xy-xyb-abx plus ab?

The expression, as given, cannot be factorised.


Factor 25r2-60r plus 144?

It can't be factored because the discriminant of the given quadratic expression is less than zero


Factor this expression.Check by multiplying factors. xy-xyb-abx-ab?

The expression, as given, cannot be factorised.


What is a factor A factor is a number or quantity that when multipled with another produces a given number or expression?

A factor is a number or quantity that when multipled with another produces a given number or expression.


In maths what does the word factor mean?

In math, factor is a verb and is usually stated as 'to factor'. To factor something basically means to derive the smaller units that when multiplied together will equal that something. Some times it becomes a trial and error exercise. To factor the number twelve (12) you would consider what numbers multiplied together equal 12. Such as (12x1, 6x2, 4x3, 3x4, 2x6, 1x12) are all factors of the number twelve. The reverse sets (3x4 is the reverse set of 4x3) are used in more advanced areas of math such as Algebra. To factor the Algebraic expression: x² + x -12 Determine what expressions when multiplied together equal that expression. In Algebra you learn the two expressions ( _ + _ )( _ +_ ) are the keys in this case. First determine the coefficients (any constants in the expression): The constant of x² is 1, the constant of x is 1 and lastly -12 is a constant. The factor of the 1 constants are 1 because the only numbers that when multiplied together to equal one are 1s (1 times 1 = 1). The factors of -12 are -12 times 1, -1 times 12, -6 times 2, -2 times 6, -4 times 3, -3 times 4 Next determine the variable factors: The factors of x² are x times x, factors of x are x times 1. Now substitute those here: ( _ + _ )( _ + _ ) Which will end up being: [x = (-3)](x+4) which simplifies to (x-3)(x+4). Multiplying these two factors will demonstrate why (-3,4) are the factors of -12 used. To multiply (x-3)(x+4), first you take the first quantity in the first expression (x) and multiply it times the first quantity in the second expression, also (x) so x times x equals x² giving x² Then multiply the first quantity in the first expression (x) times the second quantity in the second expression (4) so x times 4 equals 4x giving x² + 4x Then multiply the second quantity in the first expression (-3) times the first quantity in the second expression (x) so -3 times x equals -3x giving x² +4x -3x Then multiply the second quantity in the first expression (-3) times the second quantity in the second expression (4) so (-3) times 4 equals -12 giving x² +4x -3x -12 which simplifies to x² +x -12 So your factors are (x-3)(x+4) By some quick calculations you will find that the (-3) and (4) are the only factors of -12 that will work in this expression. The rule of thumb in this circumstance is determine the factors of -12 that when multiplied together will equal -12 and when combined will equal the coefficient of the middle term which in this case is 1. (x can be stated as 1 times x for such exercises which would make the initial expression look like 1x² + 1x -12.

Related questions

What is the discriminate of x2 plus 3x plus 4?

The discriminant of the given quadratic expression is -7


What is 3x squared -8x-16?

The given quadratic expression is (3x+4)(x-4) when factorized


What is the answer to 2xsquared plus 18x-14?

By using the quadratic formula the given quadratic expression will factor into irrational numbers and so therefore a straight forward answer is quite difficult.


What are the solutions to the equation 2x2 plus 3x-50?

Without an equality sign the given quadratic expression can't be classed as an equation but knowing how to use the quadratic equation formula would be helpful when given such problems.


What is the degree of 2y-5 plus 3y2?

The given quadratic expression can be factored as (3y+5)(y-1)


If you are given a quadratic relationship in factored form how can you find an equivalent expression in expanded form?

you have to use F.O.I.L method to simplify it.


Is x2 plus 32x plus 64 a perfect-square trinomial.?

The given quadratic expression can not be factored as a perfect square.


Which would be the length 2x2 plus 5x - 12?

The given quadratic expression can be factored as: (2x-3)(x+4)


What is the answer to 3x plus 4x2 - 5x plus 7?

The given quadratic expression can not be factorized because its discriminant is less than zero.


What is the trinomial of 48x2 76x 16?

Without knowing the plus or minus values of the given terms then it can't be considered to be a quadratic expression.


Can you solve by completing the square x2 plus 10x plus 220?

No because the discriminant of the given quadratic expression is less than zero.


What are the solution to the quadratic equation below 12x2 plus 4x-50?

Without an equality sign the given expression can't be considered to be an equation but if it equals 0 then using the quadratic equation formula will give its solutions.