Factorise by quadratic trinomials. 1) 35 - 33x + 4x²
2) 5 + 34x - 7x²
Answers
Answered by
2
Step-by-step explanation:
1. Sum is -33.
Product is 4 times 35 which is 140.
factors of 140 whose sum is 33 are -5 and -28.
4x2-28x-5x+35
(4x2 - 28x) - (5x -35)
4x (x-7) - 5 ( x-7)
answer: (4x-5)(x-7).
2. Sum is 34
Product is 3 times -7 which is -35.
Factors of -35 whose sum is 34 are 35, -1.
-7x2+35x-1x+5
(-7x2+35x) + (-x+5)
7x(-x+5) + 1(-x+5)
answer: (7x+1)(-x+5)
Answered by
3
Answer:
1)35-33x+4x²
=4x²-33x+35
=4x²-28x-5x+35
=4x(x-7)-5(x-7)
=(4x-5)(x-7)
2)5+34x-7x²
=-7x²+34x+5
=7x²-34x-5
=7x²-35x+x-5
=7x(x-5)+1(x-5)
=(7x+1)(x-5)
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