Factors of x2 + x ( a + b ) + ab are
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Answer: P+Q=a+b, PQ=ab
Step-by-step explanation:
x2 + x ( a + b ) + ab
The given equation is a two degree polynomial, so this equation have two factors.
If for our convenience we take take those two factors as P & Q.
For reference we take example of the x^2+(P+Q)x+PQ=0 ---- eq(2)
x2 + x ( a + b ) + ab=0----eq(1)
Then comparing eq(1) with eq(2) we get
the sum of the roots is P+Q = a+b
And product of the roots is P×Q = ab
Step-by-step explanation:
x2 + x ( a + b ) + ab
The given equation is a two degree polynomial, so this equation have two factors.
If for our convenience we take take those two factors as P & Q.
For reference we take example of the x^2+(P+Q)x+PQ=0 ---- eq(2)
x2 + x ( a + b ) + ab=0----eq(1)
Then comparing eq(1) with eq(2) we get
the sum of the roots is P+Q = a+b
And product of the roots is P×Q = ab
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