Let px=2x3-11x2+15xConsider x-3Put x-3=0x=3Now consider p3=233-1132+153=54-99+45=99-99=0Since p3=0⇒x-3 is factor of pxNow consider 2x-5Put 2x-5=02x=5x=52Consider p52=2523-11522+1552=1254-2754+752=125-275+1504=275-2754=0Since p52=0⇒ 2x-5 is factor of px

Plz solve this sum

Plz solve this sum a) Show that (x -- 3)and (2x — 5) arc the factorsot — i ixa • i5x • B. When

Let p (x) = 2 x^{3} - 11 x^{2} + 15 x Consider x - 3 Put x - 3 = 0 x = 3 Now consider p (3) = 2 {(3)}^{3} - 11 {(3)}^{2} + 15 (3) = 54 - 99 + 45 = 99 - 99 = 0 Since p (3) = 0 \Rightarrow (x - 3) is factor of p (x) Now consider (2 x - 5) Put 2 x - 5 = 0 2 x = 5 x = \frac{5}{2} Consider p (\frac{5}{2}) = 2 {(\frac{5}{2})}^{3} - 11 {(\frac{5}{2})}^{2} + 15 (\frac{5}{2}) = \frac{125}{4} - \frac{275}{4} + \frac{75}{2} = \frac{125 - 275 + 150}{4} = \frac{275 - 275}{4} = 0 Since p (\frac{5}{2}) = 0 \Rightarrow (2 x - 5) is factor of p (x)

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Plz solve this sum Plz solve this sum a) Show that (x -- 3)and (2x — 5) arc the factorsot — i ixa • i5x • B. When

Plz solve this sum

Plz solve this sum a) Show that (x -- 3)and (2x — 5) arc the factorsot — i ixa • i5x • B. When