plz guys answer it fast. don't post irrelevant answers. plz explain in detail. plzzzzzzzzzz guys don't post irrelevant answers please. no.(iii) bit.
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5(¡) x³-2x²-x+2
Let's check whether 1 is zero of this polynomial or not
p(1)= 1³-2(1)²-1+2
= 0
so (x-1) is a factor of this polynomial
Then,
x³-x²-x²+x-2x+2
x²(x-1)-x(x-1)-2(x-1)
(x-1)(x²-x-2)
(x-1)(x²-2x+x-2)
(x-1){x(x-2)+1(x-2)}
(x-1)(x-2)(x+1)
iii) x³+13x²+32x+20
Let's check whether -1 is a zero of this polynomial or not
p(-1)= (-1)³+13(-1)²+32(-1)+20
=0
So (x+1)is a factor of this polynomial
Then,
=>x³+x²+12x²+12x+20x+20
x²(x+1)+12x(x+1)+20(x+1)
(x+1)(x²+12x+20)
(x+1){x²+10x+2x+20}
(x+1){x(x+10)+2(x+10)}
(x+1)(x-10)(x+2)
Hope this helps you friend
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