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1)g(x)=0—›x-1=0—›x=1
p(x)=0
—›2x²+kx+√2=0
—›2(1)²+k(1)+√2=0
—›2+k+√2=0
—›k+2+√2=0
—›k=(-2)-√2
2)2x²+7x+3
=2x²+6x+x+3
=(2x²+6x)+(x+3)
=2x(x+3)+1(x+3)
=(x+3)(2x+1)
4)(2x-y+z)²
Using the identity:-
(a-b+c)²=a²+b²+c²-2ab- 2bc+2ca
a=2x, b=y, c=z
=(2x)²+(y)²+(z)²-2(2x)(y)-2(y)(z)+2(z)(2x)
=4x²+y²+z²-4xy-2yz+4zx
5)(2a-3b)³
Using the identity:-(a-b)³=a³-b³-3ab(a-b)
a=2a, b=3b
=(2a)³-(3b)³-3(2a)(3b){2a-3b}
=8a³-27b³-18ab{2a-3b}
=8a³-27b³-36a²b+54ab²
6)64m³-343n³
(4m)³-(7n)³
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