Question

Please ANSWER THIS QUESTIONS BELOW ASAP

1. Verify that -2 is a zero of the polynomial p(a)=a+2

2. Find the zero of the polynomial p(b)=b+10

3. Factorise (b-c)3 +(c-d)33+(d-b)3

4. Expand the following
(i) (4a-b+2c)2
(ii) (-x+2y-3z)2

5. Factorize the following
(i) x2+9x+18
(ii)2x3-3x2-17x+30
(iii) 9x2+4y2+16z2+12xy-16yz-24xz
(iv) 1-64x2

6. Simplify (2x-5y)3-(2x+5y)3

7. Prove that (a+b+c)3-a3-b3-c3= 3(a+b)(b+c)(c+a)

Answer 1

Answer:

1. RHS

(-2)+2

=0

P(a)=0

hence proved -2 is zero of polynomial p(a)=a+2

2.let b=-10

p(-10)= -10+10

=0

▪︎zero of polynomial b+10 is -10