Question

Plz answer the question fast......​

Answer 1

Answer:

p(x)=2x⁴+7x³–19x²–14x+30

its two zeroes are:

x=√2 and, x=–√2

(x–√2=0) and, (x+√2=0) are two factors.

similarly, (x–√2)(x+√2) =>g(x)=x²–2

is also a factor

Dividing p(x) by g(x);

q(x)=2x²+7x–15=0 (as its root is 'x' too)

=>2x²+10x–3x–15=0

=>2x(x+5)–3(x+5)=0

=>(2x–3)(x+5)=0

either, 2x-3=0 or x+5=0

=>x=3/2 or x=–5