Answer:
Step-by-step explanation:
Factoring x² - 3x - 40
The first term is, x² its coefficient is 1. The middle term is, - 3x its coefficient is -3.
The last term, “the constant", is - 40.
Multiply the coefficient of the first term by the constant 1 • - 40 = - 40.
Find two factors of - 40 whose sum equals the coefficient of the middle term, which is - 3.
That's it
Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -8 and 5.
Add up the first 2 terms, pulling out like factors:
Add up the four terms of step 4:
Which is the desired factorization
Factoring x² - 11x + 24
The first term is, x² its coefficient is 1.
The middle term is, -11x its coefficient is -11.
The last term, “the constant", is +24.
Multiply the coefficient of the first term by the constant 1 • 24 = 24.
Find two factors of 24 whose sum equals the coefficient of the middle term, which is -11.
Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -8 and -3.
Add up the last 2 terms, pulling out common factors:
Cancel out (x-8) which appears on both side of the fraction line.
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Answers & Comments
Answer:
Step-by-step explanation:
Factoring x² - 3x - 40
The first term is, x² its coefficient is 1. The middle term is, - 3x its coefficient is -3.
The last term, “the constant", is - 40.
Multiply the coefficient of the first term by the constant 1 • - 40 = - 40.
Find two factors of - 40 whose sum equals the coefficient of the middle term, which is - 3.
That's it
Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -8 and 5.
Add up the first 2 terms, pulling out like factors:
Add up the four terms of step 4:
Which is the desired factorization
Factoring x² - 11x + 24
The first term is, x² its coefficient is 1.
The middle term is, -11x its coefficient is -11.
The last term, “the constant", is +24.
Multiply the coefficient of the first term by the constant 1 • 24 = 24.
Find two factors of 24 whose sum equals the coefficient of the middle term, which is -11.
Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -8 and -3.
Add up the first 2 terms, pulling out like factors:
Add up the last 2 terms, pulling out common factors:
Which is the desired factorization
Cancel out (x-8) which appears on both side of the fraction line.