Question

A. Let p(x) = 2x²+ 5x – 3, m(x) = 2x – 1, and h(x) =
$\frac{x + 1}{x - 2}$
Find:
1.(m – p) (x)
2.p(5) + m (3) – h(1)
3.m(x)/ p(x)
4.p(x + 1)
5. p(3) – 3(m(2)
Please help I follow if you answer all of this


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Answer 1

Step-by-step explanation:

Hope,... it will help you.... you

Answer 2

Answer:

1.m(x)-p(x)=-2x²-3x+2

2.p(5) + m (3) – h(1)=79

3.m(x)/p(x)=1/(x+3)

4.p(x+1)=2x²+9x+4

5.p(3) – 3(m(2)=21

Step-by-step explanation:

p(x) = 2x²+ 5x – 3

m(x) = 2x – 1

h(x) =( X+1)/(x-2)

1.(m – p) (x)

m(x)-p(x)=(2x-1)-(2x²+ 5x – 3)

             =2x-1-2x²-5x+3

            =-2x²-5x+2x+3-1

            =-2x²-3x+2

Multiply (-)=2x²+3x-2

m(x)-p(x)=-2x²-3x+2

2.p(5) + m (3) – h(1)

p(x) = 2x²+ 5x – 3

p(5)=2(5)²+5(5)-3

p(5)=2(25)+25-3

p(5)=50+25-3

p(5)=75-3

p(5)=72

m(x) = 2x – 1

m(3)=2(3)-1

m(3)=6-1

m(3)=5

h(x) =

( X+1)/(x-2)

h(1) =

( 1+1)/(1-2)

h(1) =(2)/(-1)

h(1) =-2

p(5) + m (3) – h(1)=72+5-(-2)

p(5) + m (3) – h(1)=77+2

p(5) + m (3) – h(1)=79

3.m(x)/ p(x)

m(x)=2x – 1

p(x) = 2x²+ 5x – 3

m(x)/p(x)=2x – 1/ 2x²+ 5x – 3

Factorize; 2x²+ 5x – 3

a=2

b=5

c=-3

Product=a×c=2(-3)=-6

Sum=b=5

-1×6=-6

-1+6=5

2x²+ 6x-1x – 3

2x(x+3)-1(x+3)

(x+3)(2x-1)

m(x)/p(x)=2x – 1/ (x+3)(2x-1)

m(x)/p(x)=1/(x+3)

4.p(x + 1)

p(x) = 2x²+ 5x – 3

p(x+1)=2(x+1)²+5(x+1)-3

p(x+1)=2(x²+2x+1)+5(x+1)-3

p(x+1)=2x²+4x+2+5x+5-3

p(x+1)=2x²+4x+5x+2+5-3

p(x+1)=2x²+9x+4

5. p(3) – 3(m(2)

p(x) = 2x²+ 5x – 3

p(3)=2(3)²+5(3)-3

p(3)=2(9)+5(3)-3

p(3)=18+15-3

p(3)=33-3

p(3)=30

m(x) = 2x – 1

m(2)=2(2)-1

m(2)=4-1

m(2)=3

3m(2)=3(3)

3m(2)=9

p(3) – 3(m(2)=30-9

p(3) – 3(m(2)=21