1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# Factorize the followingx2+14xâˆ’15

A
(x1)(x+15)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
(x+1)(x+15)
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
C
(x1)(x15)
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
D
None of these
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
Open in App
Solution

## The correct option is A (x−1)(x+15)In the given polynomial x2+14x−15,The first term is x2 and its coefficient is 1.The middle term is 14x and its coefficient is 14.The last term is a constant term −15.Multiply the coefficient of the first term by the constant 1×(−15)=−15.We now find the factor of −15 whose sum equals the coefficient of the middle term, which is 14 and then factorize the polynomial x2+14x−15 as shown below:x2+14x−15=x2+15x−x−15 =x(x+15)−1(x+15)=(x−1)(x+15)Hence, x2+14x−15=(x−1)(x+15).

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
Method of Common Factors
MATHEMATICS
Watch in App
Join BYJU'S Learning Program