Chapter 4 Section 4.A Factor polynomials in the form ax^2+bx+c In this assignment, you will be able...
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Transcript of Chapter 4 Section 4.A Factor polynomials in the form ax^2+bx+c In this assignment, you will be able...
Chapter 4 Section 4.AFactor 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
2x^2+5x+3 Multiply the 2 and 3x^2+5x+6 Now factor
(x+2)(x+3) Now divide factors by 2
(x+2)(x+3)__
(x+1)(2x+3)
__2 2
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 4n^2+7n+12 Now factor
(n+4)(n+3) Now divide factors by 3
(n+4)(n+3)__
(3n+4)(n+1)
__3 3
Reduce, if you can't, put divisor in front of x.
Final factors.
3n^2+7n+4
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^2-1 Original 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^2-25 Original 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 10x^2-x-30 Now factor
(x+5)(x-6) Now divide factors by 3
(x+5)(x-6)__
4(3x+5)(x-2)
__3 3
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 8z^2+18z+72 Now 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.