Chapter 4 Section 4.A Factor polynomials in the form ax^2+bx+c In this assignment, you will be able to... 1.Factor polynomials in the form ax^2+bx+c 3.

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Factoring Polynomials

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Chapter 4 Section 4.A Factor polynomials in the form ax^2+bx+c In this assignment, you will be able to... 1.Factor polynomials in the form ax^2+bx+c 3. Factor the difference of perfect squares. 4. Factor perfect square polynomials. 2. Factor monomials first.

Factor the expression. If the expression cannot be factored, say so. 1.)2x^2+5x+3

Answer: Original Expression2x^2+5x+3 Multiply the 2 and 3 x^2+5x+6Now factor (x+2)(x+3)Now divide factors by 2 (x+2)(x+3)__ (x+1)(2x+3) __ 22 Reduce, if you can't, put divisor in front of x. Final factors. (x+1)(2x+3)

Factor the expression. If the expression cannot be factored, say so. 2.)3n^2+7n+4

Answer: Original Expression Multiply the 3 and 4 n^2+7n+12Now factor (n+4)(n+3)Now divide factors by 3 (n+4)(n+3)__ (3n+4)(n+1) __ 33 Reduce, if you can't, put divisor in front of x. Final factors. 3n^2+7n+4 (3n+4)(n+1)

Factor the expression. If the expression cannot be factored, say so. 3.)4r^2+5r+1

(4r+1)(r+1)Answer:

Factor the expression. If the expression cannot be factored, say so. 4.)6p^2+5p+1

(3p+1)(2p+1)Answer:

Factor the expression. If the expression cannot be factored, say so. 5.)11z^2+2z-9

(11z-9)(z+1)Answer:

Factor the expression. If the expression cannot be factored, say so. 6.)15x^2-2x-8

(5x-4)(3x+2)Answer:

Factor the expression. If the expression cannot be factored, say so. 7.)4y^2-5y-4

Cannot be factored.Answer:

Factor the expression. If the expression cannot be factored, say so. 8.)14m^2+m-3

(7m-3)(2m+1)Answer:

Factor the expression. If the expression cannot be factored, say so. 9.)9d^2-13d-10

(9d+5)(d-2)Answer:

Factor the expression. If the expression cannot be factored, say so. 10.)5x^2+14x-3

(5x-1)(x+3)Answer:

Factor the expression. If the expression cannot be factored, say so. 11.)9x^2-1

(3x+1)(3x-1)Answer: 9x^2-1Original expression (3x)(3x)(1)(-1) (3x)(3x)=9x^2 (1)(-1)=-1 (3x+1)(3x-1)Factors.

Factor the expression. If the expression cannot be factored, say so. 12.)4r^2-25

(2r+5)(2r-5)Answer: 4r^2-25Original expression (2r)(2r)(5)(-5) (2r)(2r)=4r^2 (5)(-5)=-25 Factors.(2r+5)(2r-5)

Factor the expression. If the expression cannot be factored, say so. 13.)49n^2-16

(7n+4)(7n-4)Answer:

Factor the expression. If the expression cannot be factored, say so. 14.)25x^2+4

Cannot be factored.Answer:

Factor the expression. If the expression cannot be factored, say so. 15.)16s^2+8s+1

(4s+1)^2Answer:

Factor the expression. If the expression cannot be factored, say so. 16.)64w^2-144w+81

(8w-9)^2Answer:

Factor the expression. If the expression cannot be factored, say so. 17.)12x^2-4x-40

Answer: Original Expression Multiply the 3 and 10 x^2-x-30Now factor (x+5)(x-6)Now divide factors by 3 (x+5)(x-6)__ 4(3x+5)(x-2) __ 33 Reduce, if you can't, put divisor in front of x. Final factors. Don't forget to put the 4 back in. 3x^2-x-10 12x^2-4x-40 4(3x^2-x-10)Factor common monomials first 4(3x+5)(x-2)

Factor the expression. If the expression cannot be factored, say so. 18.)18z^2+36z+16

Answer: Original Expression Multiply the 9 and 8 z^2+18z+72Now factor (z+12)(z+6)Now divide factors by 9 (z+12)(z+6)__ 2(3z+4)(3z+2) __ 9 9 Put divisors in front of x. Final factors. Don't forget to put the 2 back in. 9z^2+18z+8 2(9z^2+18z+8)Factor common monomials first 18z^2+36z+16 Reduce. (z+4)(z+2) 3 3 __ 2(3z+4)(3z+2)

Factor the expression. If the expression cannot be factored, say so. 19.)32v^2-2

2(4v+1)(4v-1)Answer:

20.)Factor 21x^2-77x-28. Describe each step.

You are a factoring machine.