factorice.
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Answers
A-C method is one of the methods to factorize quadratic polynomials. The main idea is the polynomial identity . We can choose appropriate values of each coefficient and factorize a quadratic polynomial.
Choose a pair of numbers that sum is 9 and product is 18. Such pair is numbers 3 and 6.
Choose a pair of numbers that sum is -2 and product is -35. Such pair is numbers -7 and 5.
Solution is as follows.
The leading coefficient is not equal to 1. So, when should consider the leading coefficient as well.
The possible pair that makes the leading coefficient equal to 2 is 2 and 1.
The possible pair that makes the constant term equal to -3 is 1 and -3.
The possible pair that makes the coefficient of linear term sum to -5 is -6 and 1.
You can write possible numbers below the leading coefficient and constant term to find the pairs more easily. Follow the instruction in the attachment.
Try these questions if you want.
Answers are as follows.
- These expressions is solved by middle split term.