factorise : x⁴+7x²+16
Answers
STEP BY STEP EXPLANATION:
x4-7x2+16
Final result :
x4 - 7x2 + 16
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2". 1 more similar replacement(s).
Step by step solution :
Step 1 :
Equation at the end of step 1 :
((x4) - 7x2) + 16
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring x4-7x2+16
The first term is, x4 its coefficient is 1 .
The middle term is, -7x2 its coefficient is -7 .
The last term, "the constant", is +16
Step-1 : Multiply the coefficient of the first term by the constant 1 • 16 = 16
Step-2 : Find two factors of 16 whose sum equals the coefficient of the middle term, which is -7 .
-16 + -1 = -17
-8 + -2 = -10
-4 + -4 = -8
-2 + -8 = -10
-1 + -16 = -17
1 + 16 = 17
2 + 8 = 10
4 + 4 = 8
8 + 2 = 10
16 + 1 = 17
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
x4 - 7x2 + 16
MARK AS BRAINLIST!
Answer:
( x2 + x + 4 ) ( x2 - x + 4 ).
Step-by-step explanation:
= ( x4 + 2 * 4 * x2 + 42 ) - x2
= ( x2 + 4 )2 - x2
= ( x2 + 4 + x ) ( x2 + 4 - x )
Hence , x4 + 7x2 + 16 = ( x2 + x + 4 ) ( x2 - x + 4 ).