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n Q:..Steps to factorise a trinomial of the form x2 + bx + c where b and c are integers:
Find all pairs of factors whose product is the last term of the trinomial. From the pairs of factors from step 1, choose a pair of factors whose sum is the coefficient of the middle term of the trinomial. Split the middle term using the pair of factors from step 2 and rewrite the trino..
Find all pairs of factors whose product is the last term of the trinomial. From the pairs of factors from step 1, choose a pair of factors whose sum is the coefficient of the middle term of the trinomial. Split the middle term using the pair of factors from step 2 and rewrite the trino..Statement
If p(x), a polynomial in x is divided by x-a and the remainder = f (a) is zero, then (x-a) is a factor of p(x..
Suggested answer:
Let f(x) = x 2 + 3x -..
Remainder theorem
If f(x) is a polynomial in x and is divided by x-a; the remainder is the value of f(x) at x = a i.e., Remainder = f(a..
Example 4:
Factorise 2x 3 + x 2 - 2x - ..
Example 3:
If 2x - y : 3x - 2y = 3:4, find x:..
Example 3:
Show that x+1 is a factor of 2x 3 +5x 2 -9x-1..
Factor theorem
If p(x) is a polynomial in x and is divided by and the remainder = f(a) is zero then (x-a) is a factor of p(x..
Example 2:
Factorise x 2 - 15x + 1..
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