14.6 答复-Ch 6:具有多面性和功能的操作
章节大纲
-
Section 6.2 Polynomial Functions
::第6.2节 多元函数Review
::回顾-
Standard form:
; degree: 2; lead term:
; lead coefficient: 1; constant term: 3.
::标准窗体: x2+3x12+3; 度: 2; 铅值: x2; 铅系数: 1; 恒定值: 3。 -
Standard form:
; degree: 2; lead term:
; lead coefficient:
; constant term: -4.
::标准表: 13x2y-9y2-4; 度: 2; 铅期: 13x2y; 铅系数: 13; 恒定期: - 4。 -
Standard form:
; degree: -3; lead term:
; lead coefficient: 3; constant term: 0.
::标准表: 3x-3; 度: -3; 铅值: 3x-3; 铅系数: 3; 恒定值: 0。 -
Standard form:
; degree: 2; lead term:
; lead coefficient:
; constant term: 0.
::标准表:23t2-t-2;度:2;铅期:23t2;铅系数:13;恒定期:0。 -
Standard form:
degree: 1; lead term:
; lead coefficient: -1; constant term: -1.
::标准窗体: -2x+x12-1; 度:1; 牵头条件: -2x; 牵头系数: -1; 恒定条件: -1。 -
Standard form:
; degree: 3; lead term:
; lead coefficient: 1; constant term: 5.
::标准表: x3+5; 度: 3; 铅值: x3; 铅系数: 1; 恒定值: 5。 -
Standard form:
; degree: 1; lead term:
; lead coefficient: -2; constant term: 3.
::标准窗体: - 2x+3; 度: 1; 牵头条件: - 2x; 牵头系数: - 2; 恒定条件: 3。 -
Standard form:
; degree: 1; lead term:
; lead coefficient: 1; constant term: 5.
::标准表: x+x-2+5; 度:1; 铅值: x; 铅系数:1; 恒定值: 5。 -
Standard form:
; degree: 4; lead term:
; lead coefficient: 8; constant term: -20.
::标准表: 8x4+x3+14x2-15x-20; 度: 4; 铅期: 8x4; 铅系数: 8; 恒定期: - 20。 -
Standard form:
; degree: 3; lead term:
; lead coefficient: 1; constant term: 8.
::标准表: x3+8; 度: 3; 铅值: x3; 铅系数: 1; 恒定值: 8。 -
Standard form:
; degree: -1; lead term:
; lead coefficient: 9; constant term: 16.
::标准表: 9x-1+5x-2+16; 度: -1; 铅期: 9x-1; 铅系数: 9; 恒定期: 16。 -
Standard form:
; degree: 2; lead term:
; lead coefficient:
; constant term: 10.
::标准表: 2x2-6x+10; 度: 2; 铅值: 2x2; 铅系数: 2; 恒定值: 10。 -
Standard form:
; degree: 4; lead term:
; lead coefficient:
; constant term: 4.
::标准表: 13x4+83x2+4; 度: 4; 铅期: 13x4; 铅系数: 13; 恒定期: 4。 -
Standard form:
; degree: 1; lead term:
; lead coefficient: 1; constant term: 0.
::标准表: x-4x-1; 度: 1; 铅值: x; 铅系数: 1; 恒定值: 0。 -
Standard form:
; degree: 6; lead term:
; lead coefficient: -10; constant term: 41.
::标准窗体: - 10x6+7x5 - 6x3+19x2 - 3x+41; 度: 6; 牵头条件: - 10x6; 铅系数: - 10; 恒定条件: 41。
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Answers will vary. Example:
.
::答复将有所不同。例如: x3-9。 -
;
,
. The y-intercept for each of these polynomials is equal to the constant term.
::f( 0) = 8; g( 0) = 7, h( 0) = 0。 这些多元值中每个值的 Y 拦截值等于常数 。 -
Program 3
::方案3
Section 6.3 Adding and Subtracting Polynomials
::第6.3节 增添和减减多面体Review
::回顾-
::4x3+3x2-19x+20 -
::-6x4+8x3-2x2-12x+7 -
::x4+7x3+7x2-3x+19 -
::-6x4-3x3-3-3x2-4 -
::3x3+15x2-11x-11 -
::2x5 - 4x4+3x3+30x2 - 3x- 17 -
::0.56x5+1.29x4 - 1.87x3+ 1.59x2 -
::-38x3-139x2+815x -
::7x3-12x2+20x-12 -
::-2x5+14x4-10x3+30
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is the total, and
is the difference.
::-4x2+12x+35,000是总数,2x2-2x+5000是差额。 -
::周边=10x-2 -
::-5t2+10t
Section 6.4 Multiplying by a Monomial and the FOIL Method
::第6.4节 单体和FIL方法的乘数Review
::回顾-
::5x3-30x2+40x -
::-8x5+11x3-20x2 -
::21x6-7x5+112x4+70x3 -
::x3 - 5x2+4x- 20 -
::6x3-21x2-8x+28 -
::-x3-2x2+9x+18 -
::25x2 - 120x+144 -
::16x2+72x+81 -
::-6x7-33x6+2x5+11x4 -
::18x6+17x5-15x4 18x6+17x5-15x4
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::探索更多-
::3x3+18x2+24x -
::2x3+5x2+2x -
:w+100(u+20)=wu+20w+100u+2 000)
Section 6.5 Multiplying Polynomials
::第6.5节 乘数聚合体Review
::回顾-
::x4 - 2x3 - 2x+1 -
::5x4-x3+40x2-68x+12 -
::3x4-25x3+36x2-41x-105 -
::8x5- 6x4+25x3- 12x2+3x- 18 -
::2x3+9x2 - 51x+40 -
::2x5+8x4+x3+4x2-10x-40 -
::9x4-25x2+16 -
::10x5 - 26x4 - 15x3+61x2+10x- 28 -
::x5 - 4x4 - 15x3+29x2 - 51x- 90 -
::-12x5+22x4-7x3-77x2+148x-110
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::探索更多-
::x3 - 13x+12 -
::x4 - 4x3 - 8x2 - 16x- 48 -
::x3 - 4x2 - 11x+30
Section 6.6 Long Division of Polynomials
::第6.6节 一夫多妻制长分割法Review
::回顾-
::2x2+3x-10+4x+1 -
::x3 - 5x2 - 25x - 110 - 580x - 5 -
::2x2-8x+6+19x+5x2-1 -
::x2-2x+3-83x+2 -
::3x3+7x2+7x-2 -
::x3-4x+3+3+3x+112x2+3 -
::x2 - 14x+97 - 500x+5 -
::x2- 9 -
::2x2+11x+15 -
::5x2+6x-27+-18x+78x2+3
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::探索更多-
::x4+3x3-8x2-9=(x-2)(x3+5x2+2x4)-1 -
and
::x3-4x2+9x-13x-2=4x2+2x-3+-1x-2和f(2)=-1 -
::y=4x- 11 y=4x- 11
Section 6.7 Synthetic Division of Polynomials
::第6.7节 多元体合成司Review
::回顾-
::x2+4x- 1+12x+2 -
::4x2+17x+16 -
::2 - 1+-42x+1 -
::2x3-33x2+267x-2,423+21,849x+9 -
::x2+2x- 1 -
::3x4+3x3+7x2+7x6+6+4x-1 -
::12x2+40x-13+19x+3 -
::x2-7x+12+-14x+2 -
::6x2+7x+39+154x-4 -
::x3+3x2 - 6x-8
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::探索更多-
Yes, since
. Therefore, the three sides have side lengths of
, and
.
::是,因为2x3+5x2-x-62-62x+3=x2+x-2。 因此,三边的侧长为2x+3、x+2和x-1。 -
a.
::a. f( 2) =-14
b. The remainder is .3. lead term: constant term: 16.Section 6.8 Operations with Functions
::第6.8节 具有职能的业务Review
::回顾-
::x2+5x+6 -
::5x+1-3x-5 -
::9-45岁 -
::x-5(x2+5)3x-15 -
::5x3+x2+25x5+5 -
::x x - 25
-
::26x5 26x5 -
::x32-255x -
::x6125
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::探索更多-
with the restriction that
.
::宽度=2x2x+3, 限制为 x-3 。 -
Profit function is
, and the break-even point is 41.67.
::利润函数为60x-2,500,平衡点为41.67。 -
They are not equal:
::它们不等于: f2( x) =[f( x) 2=( x+4) 2=( x+4) 2=x2+8x+16f( x2) =[( x2)+4) =x2+4
Section 6.9 Composition of Functions
::第6.9节 职能的组成Review
::回顾-
::9-40岁 -
::5x2+26 -
::3x___________________________________________________________________________________________________________________________________________________ -
::35x-4 -
::45x-31岁 -
::xx,xx>0 -
::5x 5x0Oor5x -
::5x 5x0Oor5x -
::25x,x>0or25x -
::25xxx >0
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::探索更多-
30% off:
; $10 coupon:
; two ways to get the discount:
and
. The last equation gives the better discount.
::30%下调:d=0.7x;10张优惠券:d=x-10;两种折扣方式:d=0.7x-10和d=0.7x-7。 -
::A=P(1+r)3 -
::V=2563t3
Section 6.10 Connections: Impact of the Deepwater Horizon Oil Spill
::第6.10节 连接:深海地平线石油泄漏的影响Review
::回顾-
::A(0.13t)2 -
619.3 square miles
::619.3平方英里 -
::A(0.175t-4.9)2 -
3,848.45 square miles
::3,848.45平方英里 -
About 40.3 days
::约40.3天
Section 6.11 Connections: Protecting Your Data
::第6.11节连接:保护数据Review
::回顾-
::x2+1+1+-1x+1 -
No, the check values do not agree.
::不,检查值并不一致。 -
No, the check values do agree.
::不,检查值是一致的。 -
Answers will vary.
::答案将各有不同。
-
Standard form:
; degree: 2; lead term:
; lead coefficient: 1; constant term: 3.