Amit Kumar Jha is teaching live on Unacademy Plus
COURSE OVERVIEW Basic and Advance concept for QUANTITATIVE SECTION 0 GMAT, GRE, SAT Beneficial for those taking any of the tests mentioned above Or those who want to improve their basic concepts
ABOUT ME Amit Kumar Jha B. Tech Won All India Merit Scholorship Teaching Quant for GMAT, GRE, SAT(17 years) Like comment and share https://unacademy.com/user/AmitJha-9460
Polvnomials Defining Polynomials Adding Like Terms
Vocabulary Monomials - a number, a variable, or a product ofa number and one or more variables. 4x, 20xyw3, -3, a-b3, and 3yz are all monomials Polvnomials one or more monomials added or subtracted . 4x 6x2, 20xy 4, and 3a2- 5a +4 are all polynomials.
Like Terms Like Terms refers to monomials that have the same variable(s) but may have different coefficients. The variables in the terms must have the same powers. Which terms are like? 3a%, 4ab2,3ab,-5ab2 4ab2 and -5ab are like. Even though the others have the same variables, the exponents are not the same 3a2b-3aab, which is different from 4ab_4abb.
Like Terms Constants are like terms. Which terms are like? 2x, -3, 5b, 0 -3 and 0 are like. Which terms are like? 3x, 2x2, 4, x 3x and x are like. Which terms are like? 2wx, w 3x, 4xw 2wx and 4xw are like.
Adding Polynomials Add: (x2+ 3x 1) (4x2 +5) Step1: Undelie like terms: + 3x Notice: 3x'doesnt have a like term. Step 2: Add the coefficients of like termns, do not change the powers of the variables: (x 4x2) +3x +(1 +5) 5x2 3x 6
Adding Polynomials Add the following polynomials; you may stack them if you prefer 1) (3x -7x) +(3x3 +4x 6x3 -3x 3) (2a3 +3a + 5a)+ (a+ 4a+3)- 3a +3a +9a +3
Adding Polynomials Some people prefer to add polynomials by stacking them. If you choose to do this, be sure to line up the like terms! (x2 3x +1) (x2+3x + 1) + (4x2 +5) +(4x2 +5) 5x2 3x 6 Stack and add these polynomials: (2a2+3ab+4b2)+ (7a2+ab+-2b2) (2a2+ 3ab 4b2) (2a2+3ab+4b2) +(7a2+ab+-2b) +(7a2 +ab2b 9a 4ab 2b2
Subtract: (3x22x7) (x2+ x+ 4) Step 1: Change subtraction to addition (Keep-Change-Change). (3x2+ 2x+7) (x2+-x+-4) Step 2: Underline OR line up the like terms and add. x2 2x +7) 2X