Question

if x minus 2 a factor of 3 X square + 3 x minus 2 find P also factorise the polynomial​

Answer 1

Given :- if (x - 2) is a factor of x² + 3x + p . find P .Also factorise the polynomial ?

Answer :-

since (x - 2) is a factor of given polynomial p(x) .

so,

→ p(x) = x² + 3x + p

→ p(2) = 0

→ (2)² + 3*2 + p = 0

→ 4 + 6 + p = 0

→ p = (-10)

also, then,

→ p(x) = x² + 3x - 10 .

therefore,

→ x² + 3x - 10 = 0

→ x² + 5x - 2x - 10 = 0

→ x(x + 5) - 2(x + 5) = 0

→ (x + 5)(x - 2) = 0

Learn more :-

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