Solve the form x2 - bx + c, Mathematics

Assignment Help:

The form x2 - bx + c ?

This tutorial will help you factor quadratics that look something like this:

x2 -7x + 12

(No leading coefficient; negative middle coefficient; positive constant coefficient.)

Step 1: Write down all the different ways to factor the constant coefficient (12) into two negative numbers:

12 = ( -1)(-12 )

12 = ( -2)( -6 )

12 = ( -3)( -4 )

(Order doesn't matter. So (-3)(-4) is the same as (-4)(- 3).)

Step 2: Now, for each possible factorization, add together the two factors. You're looking for two that add up to the middle coefficient, which is -7.

-1 - 12 = -13

-2 - 6 = -8

-3 - 4 = - 7 < --------------------------- found it!

The factors which worked out were -3 and -4, so here's how

you factor the polynomial:

(x - 3)(x - 4)

Step 3: Check your answer by multiplying out using FOIL:

(x - 3)(x - 4) = x2 - 7x + 12.


Related Discussions:- Solve the form x2 - bx + c

Trignometery., using the formula sin A =under root 1+ cos2A /2 . find value...

using the formula sin A =under root 1+ cos2A /2 . find value of 30 degree, it is being given that cos 60 degree =1/2.

Find out the probability, a)  A husband and wife appear in an interview for...

a)  A husband and wife appear in an interview for two vacancies in the same post.  The probability of husband's selection is 1/7 and that of wife's selection is 1/5.  What is th

Index of summation - sequences and series, Index of summation - Sequences a...

Index of summation - Sequences and Series Here now, in the i is termed as the index of summation or just index for short and note that the letter we employ to represent

A card is drawn from a well shuffled deck of cards, A card is drawn from a ...

A card is drawn from a well shuffled deck of cards (i) What are the odds in favour of getting spade? (Ans: 1:3, 3:1, 3:10, 1:25) (ii)  What are the odds against getting a spa

Conic sections, The locus of the midpoint of the chords of an ellipse which...

The locus of the midpoint of the chords of an ellipse which are drawn through an end of minor axis is called

Explain why f must be a di?erentiable function, Let f : R 3 → R be de?ned ...

Let f : R 3 → R be de?ned by:                                        f(x, y, z) = xy 2 + x 3 z 4 + y 5 z 6 a) Compute ~ ∇f(x, y, z) , and evaluate ~ ∇f(2, 1, 1) . b) Brie?y

Topological spease, let X be a nonempty set. let x belong to X. show that t...

let X be a nonempty set. let x belong to X. show that the collection l={ union subset of X : union = empty or belong U

Unit normal vector - three dimensional space, Unit Normal Vector - Three Di...

Unit Normal Vector - Three Dimensional Space The unit normal vector is illustrated to be, N (t) = → T' (t) / (|| T → ' (t)||) The unit normal is orthogonal or normal or

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd