2 3 4 5 6 Factor the polynomial campletely If the polynoetia

2)
3)
4)
5)
6)

Factor the polynomial campletely. If the polynoetial cannot be factored, write prime 2) 3a2 3ab-7a -7b 3) 625x -x5 A)prime Cx(2 25)2 252 4) x2.14x+4 Solve. 5) A boat moves 9 kilometers upstream in the same amount ot time it moves 16 kilorieters am. If the rate od the urzent is 9 kilameters per hour, find thwe rabe of the bost in stll A)2kmu hr B)1knihr .C. 32kmht A) 20 km/hr B)11 kiehr C) 32 krn/hr D)9lanihe 6) x2.15.7-o A) 8 B)9, -9 with an initial velocity of 21 meters per second from a caif that is 912+211+60 wh

Solution

2.3a^2+3ab-7a-7b

=3a(a+b)-7a(a+b)

=(3a-7)(a+b)

3. 625-x^5

=x(625-x^4)

=x(5^4 -x^4)

=x((5^2)^2 -(x^2)^2)

=x(25+x^2)(25-x^2)

=x(25+x^2)(5-x)(5+x)

4.x^2 -14x +48

=x^2 -8x -6x +48

=x(x-8)-6(x-8)

=(x-8)(x-6)

6.sqrt(x^2 -15) +7=0

=sqrt(x^2 -15)=-7

squaring both sides

=x^2 -15=49

=x^2=64

square rooting both sides

x=+8,-8

5.if t s time taken let x be boat speed in still water y be the current speed

(x+9)t=16 for downstream

(x-9)t=9 for upstream

16/(x+9)=9/(x-9)

9x+81=16x -144

225/7=x

x=32 1/7 km /hr option c

Thnak you