factorise d^2-13d+30
Answers
Hey mate...... Here is the correct answer :
d2-10d-3d+30 by splitting method
= (d-10)(d-3)
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Answer:
Step-by-step explanation:
The first term is, d2 its coefficient is 1 .
The middle term is, -13d its coefficient is -13 .
The last term, "the constant", is +30
Step-1 : Multiply the coefficient of the first term by the constant 1 • 30 = 30
Step-2 : Find two factors of 30 whose sum equals the coefficient of the middle term, which is -13 .
-30 + -1 = -31
-15 + -2 = -17
-10 + -3 = -13 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -10 and -3
d2 - 10d - 3d - 30
Step-4 : Add up the first 2 terms, pulling out like factors :
d • (d-10)
Add up the last 2 terms, pulling out common factors :
3 • (d-10)
Step-5 : Add up the four terms of step 4 :
(d-3) • (d-10)
Which is the desired factorization
Answer is (d-3) (d-10)