Easy Algebra Step-by-Step

112 Easy Algebra Step-by-Step b. − − 12 3 xx^42 +++ 666 x Step 1. Divide each term of the polynomial by the monomial. −+ − 12 6 ...

Dividing Polynomials 113 =+ 6 2 1 2 4 44 + 2 x xx 2 =+ ↑ ← ← 3 1 2 x^4 remainder divisor quotient Step 2. State the quotient and ...

114 Easy Algebra Step-by-Step Solution a.^461 21 xx^32886 x x 888 x− Step 1. Using the long division symbol ()) , arrange the te ...

Dividing Polynomials 115 Step 6. Bring down 1, the last term of the dividend, and repeat steps 2–4. (^21) ) 4681 22 4 (^3266) 2 ...

116 Easy Algebra Step-by-Step Step 4. Subtract xx^322 from the dividend, being sure to mentally change the signs of bothx^3 and ...

Dividing Polynomials 117 xx x (^24) 3 +−x =+xx+ (^34) ))))x +−xx 2 Step 2. Divide the fi rst term of the dividend by the fi rst ...

118 Easy Algebra Step-by-Step Exercise 11 Find the quotient and remainder. 1. 15 5 xx^525303030 − x 2. − − 14 7 (^42) + 21 2 xx+ ...

119 12 Factoring Polynomials In this chapter, you learn about factoring polynomials. Factoring and Its Objectives Factoring is t ...

120 Easy Algebra Step-by-Step (xy)^2 =x^2 y^2 , but (x+y)^2 ≠x^2 +y^2. |xy| = |x| |y|, but |x−y| ≠ |x| − |y|. 4. xy x =y, but ...

Factoring Polynomials 121 monomial factor. The greatest common monomial factor is the product of the greatest common numerical f ...

122 Easy Algebra Step-by-Step = 4 xy^63 ⋅ 32 xy^26 − 444 xyxy^34 ⋅ 22 z^2 Step 3. Use the distributive property to factor 4x^6 y ...

Factoring Polynomials 123 Step 4. Review the main steps. xy^3 −+xyxy yyy()xxx^3 + 1 d. 4 x+ 4 y Step 1.Use the distributive prop ...

124 Easy Algebra Step-by-Step b. − 5 xy^2 − 10 xy Step 1. Determine the GCF with a negative coeffi cient for − 5 xy^2 and 10xy. ...

Factoring Polynomials 125 Step 3. Use the distributive property to factor −2 from the resulting expression. =− 2 (x^3 − 2 x+ 4) ...

126 Easy Algebra Step-by-Step 2 x()x 3 + 55 () 33 −x = 2 x(((()− − 5 (()− Step 2. Determine the GCF for 2x(x− 3) and 5(x− 3). GC ...

Factoring Polynomials 127 b. ax+ by + ay + bx Step 1. Rearrange the terms so that the fi rst two terms have a common fac- tor an ...

128 Easy Algebra Step-by-Step Your task when factoring 6x^2 + 23 x+ 20 is to reverse the FOIL process to obtain 6x^2 + 23 x + 20 ...

Factoring Polynomials 129 b. x^2 − 9 x + 14 Step 1. Because the expression has the form ax^2 + bx + c, look for two bino- mial f ...

130 Easy Algebra Step-by-Step Step 2. x^2 is the fi rst term, so the fi rst terms in the two binomial factors must be x. x^2 − 5 ...

Factoring Polynomials 131 Step 4. Write the factored form. 35 xx^2555 x− 2 () 33 xx 11 ()x 2 f. 4 x^2 − 11 x− 3 Step 1. Because ...