Question

• x² – 3x² + 3x + 7fractorise​

Answer 1

Answer:

x = (3 + √65) / 4 , (3 - √65) / 4

Step-by-step explanation:

Given,

p(x) = x^2 - 3x^2 + 3x + 7

On solving this, we get

=> -2x^2 + 3x + 7 = 0

Now, let us transpose the variables and constants to the right side, then,

=> 2x^2 - 3x - 7 = 0

Since here splitting the middle term method is not appropriate, we can use quadratic formula that is

x = [(-b) +/- √{(b)^2 - 4ac}] / 2a

Here,

a = 2 , b = -3 and c = -7

By using quadratic formula, we get

x = [-(-3) +/- √{(-3)^2 - 4×2×(-7)] / 2×2

=> x = [-(-3) +/- √{9 + 56}] / 4

=> x = [-(-3) +/- √65 ] / 4

=> x = ( 3 +/- √65 ) / 4

Hence, the values of

x = (3 + √65) / 4 , (3 - √65) / 4

Answer 2

Answer:

Step-by-step explanation:

if the question is x³-3x²+3x+7

then answer is as follows

first try trail and error method which means substitute values -2,-1,0,1,2 and check whether the equations turns 0

by substituting x=-1  i  we will get o

so, x=-1 is one solution

divide x³-3x²+3x+7 by x+1

we will get x²-4x+7 as quotient

so x³-3x²+3x+7=(x+1)(x²-4x+7)