Question

(x- 1 ) ( x-2 ) ( x ^2 - 9 x +14 ) ÷ ( x -7 ) ( x^2 - 3x + 2) pls give ans. fast ​

Answer 1

Answer:

Step-by-step explanation:

Given that

α and β are the roots of the equation

x² — 9x + 14 = 0

So α + β = —(—9) = 9

and αβ = 14

Now, consider,

α² + β²

= α² + β² + 2αβ — 2αβ

= (α + β)² — 2αβ

= (9)² — 2(14)

= 81 — 28

= 53

So α² + β² = 53

Answer 2

Answer:

(x−1)(x−2)(x2−9x+14)/x−7(x2−3x+2)

=x6−15x5+81x4−213x3+294x2−204x+56/x−7

=(x−1)(x−1)(x−2)(x−2)(x−2)(x−7)/x−7

=x5−8x4+25x3−38x2+28x−8