GRADE 10 MATHEMATICS WEEK7 Answer the following: 1. what is the remainder when 2x¹⁰ + 7x⁵ -5 is divided by x -1?
2. what is the remainder x² + 8x + 12 when divided by x -2?
3. what are the factors of x² + 8x=12?
4. If the remainder of the x³ - kx² + 3x– 2 when divided by x -1 is 4, find the value of k.
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Step-by-step explanation:
1.P(x)=2x¹⁰+7x⁵-5. x-1=0
P(1)=2(1)¹⁰+7(1)⁵-5. x=1
=2+7-5
=9-5
=4
2.P(x)=x²+8x+12. x-2=0
P(2)=(2)²+8(2)+12. x=2
=4+16+12
=20+12
=32
4.P(x)=x³-kx²+3x-2. x-1=0
P(1)=(1)³-k(1)²+3(1)-2. x=1
=1-k(1)+3-2
1k=1+2-2
1k=2
1 1
=2
P(x)=x³+2x²+3x-2